因子多项式据/h1>
已经有账户了?据一种href="//www.parkandroid.com/account/login/?next=/wiki/factoring-polynomials/" class="ax-click" data-ax-id="clicked_signup_modal_login" data-ax-type="link">这里登录。据/a>
测验据/h4>
有关……据/h4>
- 代数据/span>>据/span>
要考虑多项式据/strong>是将一个多项式分解成两个或多个多项式乘积的过程。例如,据span class="katex"> F据/span>(据/span>X据/span>)据/span>=据/span>X据/span>2据/span>+据/span>5.据/span>X据/span>+据/span>6.据/span>可以分解成据span class="katex"> F据/span>(据/span>X据/span>)据/span>=据/span>(据/span>X据/span>+据/span>3.据/span>)据/span>(据/span>X据/span>+据/span>2据/span>)据/span>.据/span>
另一个例子:据/p>
因素据span class="katex"> X据/span>2据/span>-据/span>X据/span>-据/span>6.据/span>.据/p>
我们有据/p>
X据/span>2据/span>-据/span>X据/span>-据/span>6.据/span>=据/span>(据/span>X据/span>-据/span>3.据/span>)据/span>(据/span>X据/span>+据/span>2据/span>)据/span>.据/span>□据/span>
注意据span class="katex"> X据/span>2据/span>-据/span>X据/span>-据/span>6.据/span>也可以表达为据span class="katex"> 1据/span>⋅据/span>(据/span>X据/span>2据/span>-据/span>X据/span>-据/span>6.据/span>)据/span>.因此,因素据span class="katex"> X据/span>2据/span>-据/span>X据/span>-据/span>6.据/span>是据span class="katex"> 1据/span>那据span class="katex"> X据/span>2据/span>-据/span>X据/span>-据/span>6.据/span>那据span class="katex"> X据/span>-据/span>3.据/span>和据span class="katex"> X据/span>+据/span>2据/span>.据/p>
为了解决这样的问题,您需要了解据一种href="//www.parkandroid.com/wiki/prime-factorization/" class="wiki_link" title="质因数分解" target="_blank">质因数分解据/a>.如果需要,请在继续之前回顾一下这个概念。我们将看看多项式分解的三种常见方法:分组、替换和使用恒等式。据/p>
内容据/h4>
用分组分解多项式据/h2>
我们经常看到分组方法应用于具有4个术语的多项式。这个想法是将术语相同,以便我们可以应用据一种href="//www.parkandroid.com/wiki/distributive-property/" class="wiki_link" title="分配率" target="_blank">分配率据/a>为了将它们分解。据/p>
因素据span class="katex"> X据/span>3.据/span>-据/span>3.据/span>X据/span>2据/span>-据/span>X据/span>+据/span>3.据/span>.据/h3>
我们有据/p>
X据/span>3.据/span>-据/span>3.据/span>X据/span>2据/span>-据/span>X据/span>+据/span>3.据/span>=据/span>X据/span>2据/span>(据/span>X据/span>-据/span>3.据/span>)据/span>-据/span>(据/span>X据/span>-据/span>3.据/span>)据/span>=据/span>(据/span>X据/span>2据/span>-据/span>1据/span>)据/span>(据/span>X据/span>-据/span>3.据/span>)据/span>=据/span>(据/span>X据/span>-据/span>1据/span>)据/span>(据/span>X据/span>+据/span>1据/span>)据/span>(据/span>X据/span>-据/span>3.据/span>)据/span>.据/span>□据/span>
因素据span class="katex"> X据/span>2据/span>+据/span>4.据/span>X据/span>-据/span>y据/span>2据/span>-据/span>4.据/span>y据/span>.据/h3>
我们有据/p>
X据/span>2据/span>+据/span>4.据/span>X据/span>-据/span>y据/span>2据/span>-据/span>4.据/span>y据/span>=据/span>(据/span>X据/span>2据/span>-据/span>y据/span>2据/span>)据/span>+据/span>(据/span>4.据/span>X据/span>-据/span>4.据/span>y据/span>)据/span>=据/span>(据/span>X据/span>-据/span>y据/span>)据/span>(据/span>X据/span>+据/span>y据/span>)据/span>+据/span>4.据/span>(据/span>X据/span>-据/span>y据/span>)据/span>=据/span>(据/span>X据/span>-据/span>y据/span>)据/span>(据/span>X据/span>+据/span>y据/span>+据/span>4.据/span>)据/span>.据/span>□据/span>
因素据span class="katex"> X据/span>2据/span>-据/span>1据/span>6.据/span>y据/span>2据/span>-据/span>6.据/span>X据/span>+据/span>9.据/span>.据/h3>
我们有据/p>
X据/span>2据/span>-据/span>1据/span>6.据/span>y据/span>2据/span>-据/span>6.据/span>X据/span>+据/span>9.据/span>=据/span>(据/span>X据/span>2据/span>-据/span>6.据/span>X据/span>+据/span>9.据/span>)据/span>-据/span>1据/span>6.据/span>y据/span>2据/span>=据/span>(据/span>X据/span>-据/span>3.据/span>)据/span>2据/span>-据/span>(据/span>4.据/span>y据/span>)据/span>2据/span>=据/span>(据/span>X据/span>-据/span>3.据/span>-据/span>4.据/span>y据/span>)据/span>(据/span>X据/span>-据/span>3.据/span>+据/span>4.据/span>y据/span>)据/span>.据/span>□据/span>
保理的替换据/h2>
如果多项式复杂,您可以尝试用更简单的术语代替一个复杂的术语来使其更容易。据/p>
因素据span class="katex"> (据/span>X据/span>-据/span>y据/span>)据/span>(据/span>X据/span>-据/span>y据/span>-据/span>1据/span>)据/span>-据/span>2据/span>0.据/span>.据/h3>
让据span class="katex"> S.据/span>=据span class="katex"> X据/span>-据/span>y据/span>.替代据span class="katex"> S.据/span>在据span class="katex"> X据/span>-据/span>y据/span>为了便于计算,我们得到了据/p>
(据/span>X据/span>-据/span>y据/span>)据/span>(据/span>X据/span>-据/span>y据/span>-据/span>1据/span>)据/span>-据/span>2据/span>0.据/span>=据/span>(据/span>S.据/span>)据/span>(据/span>S.据/span>-据/span>1据/span>)据/span>-据/span>2据/span>0.据/span>=据/span>S.据/span>2据/span>-据/span>S.据/span>-据/span>2据/span>0.据/span>=据/span>(据/span>S.据/span>-据/span>5.据/span>)据/span>(据/span>S.据/span>+据/span>4.据/span>)据/span>=据/span>(据/span>X据/span>-据/span>y据/span>-据/span>5.据/span>)据/span>(据/span>X据/span>-据/span>y据/span>+据/span>4.据/span>)据/span>.据/span>□据/span>
因素据span class="katex"> (据/span>X据/span>+据/span>y据/span>)据/span>(据/span>X据/span>+据/span>y据/span>+据/span>1据/span>)据/span>-据/span>1据/span>2据/span>.据/h3>
让据span class="katex"> S.据/span>=据span class="katex"> X据/span>+据/span>y据/span>.替代据span class="katex"> S.据/span>在据span class="katex"> X据/span>+据/span>y据/span>为了便于计算,我们得到了据/p>
(据/span>X据/span>+据/span>y据/span>)据/span>(据/span>X据/span>+据/span>y据/span>+据/span>1据/span>)据/span>-据/span>1据/span>2据/span>=据/span>(据/span>S.据/span>)据/span>(据/span>S.据/span>+据/span>1据/span>)据/span>-据/span>1据/span>2据/span>=据/span>S.据/span>2据/span>+据/span>S.据/span>-据/span>1据/span>2据/span>=据/span>(据/span>S.据/span>-据/span>3.据/span>)据/span>(据/span>S.据/span>+据/span>4.据/span>)据/span>=据/span>(据/span>X据/span>+据/span>y据/span>-据/span>3.据/span>)据/span>(据/span>X据/span>+据/span>y据/span>+据/span>4.据/span>)据/span>.据/span>□据/span>
你可以看到更多应用这个方法的例子据一种href="//www.parkandroid.com/wiki/factor-polynomials-by-substitution/" class="wiki_link" title="通过替换进行修改多项式" target="_blank">通过替换进行修改多项式据/a>页。据/p>
用恒等式分解多项式据/h2>
要分解形式的二项式据span class="katex">
X据/span>2据/span>-据/span>y据/span>2据/span>=据/span>(据/span>X据/span>-据/span>y据/span>)据/span>(据/span>X据/span>+据/span>y据/span>)据/span>:据/span> 因素据span class="katex">
X据/span>2据/span>-据/span>1据/span>6.据/span>.据/p>
我们有据/p>
X据/span>2据/span>-据/span>1据/span>6.据/span>=据/span>X据/span>2据/span>-据/span>4.据/span>2据/span>=据/span>(据/span>X据/span>-据/span>4.据/span>)据/span>(据/span>X据/span>+据/span>4.据/span>)据/span>.据/span>□据/span> 因素据span class="katex">
X据/span>4.据/span>-据/span>2据/span>5.据/span>y据/span>4.据/span>.据/p>
我们有据/p>
X据/span>4.据/span>-据/span>2据/span>5.据/span>y据/span>4.据/span>=据/span>(据/span>X据/span>2据/span>)据/span>2据/span>-据/span>(据/span>5.据/span>y据/span>2据/span>)据/span>2据/span>=据/span>(据/span>X据/span>2据/span>-据/span>5.据/span>y据/span>2据/span>)据/span>(据/span>X据/span>2据/span>+据/span>5.据/span>y据/span>2据/span>)据/span>.据/span>□据/span> 因素据span class="katex">
9.据/span>X据/span>3.据/span>y据/span>-据/span>3.据/span>6.据/span>X据/span>y据/span>.据/p>
我们有据/p>
9.据/span>X据/span>3.据/span>y据/span>-据/span>3.据/span>6.据/span>X据/span>y据/span>=据/span>9.据/span>X据/span>y据/span>(据/span>X据/span>2据/span>-据/span>4.据/span>)据/span>=据/span>9.据/span>X据/span>y据/span>(据/span>X据/span>2据/span>-据/span>2据/span>2据/span>)据/span>=据/span>9.据/span>X据/span>y据/span>(据/span>X据/span>-据/span>2据/span>)据/span>(据/span>X据/span>+据/span>2据/span>)据/span>.据/span>□据/span> 因素据span class="katex">
(据/span>X据/span>+据/span>1据/span>)据/span>2据/span>-据/span>9.据/span>(据/span>X据/span>-据/span>2据/span>)据/span>2据/span>.据/p>
我们有据/p>
(据/span>X据/span>+据/span>1据/span>)据/span>2据/span>-据/span>9.据/span>(据/span>X据/span>-据/span>2据/span>)据/span>2据/span>=据/span>(据/span>X据/span>+据/span>1据/span>)据/span>2据/span>-据/span>(据/span>3.据/span>(据/span>X据/span>-据/span>2据/span>)据/span>)据/span>2据/span>=据/span>(据/span>(据/span>X据/span>+据/span>1据/span>)据/span>-据/span>3.据/span>(据/span>X据/span>-据/span>2据/span>)据/span>)据/span>(据/span>(据/span>X据/span>+据/span>1据/span>)据/span>+据/span>3.据/span>(据/span>X据/span>-据/span>2据/span>)据/span>)据/span>=据/span>(据/span>X据/span>+据/span>1据/span>-据/span>3.据/span>X据/span>+据/span>6.据/span>)据/span>(据/span>X据/span>+据/span>1据/span>+据/span>3.据/span>X据/span>-据/span>6.据/span>)据/span>=据/span>(据/span>-据/span>2据/span>X据/span>+据/span>7.据/span>)据/span>(据/span>4.据/span>X据/span>-据/span>5.据/span>)据/span>.据/span>□据/span> 要分解形式的二项式据span class="katex">
X据/span>3.据/span>+据/span>y据/span>3.据/span>=据/span>(据/span>X据/span>+据/span>y据/span>)据/span>(据/span>X据/span>2据/span>-据/span>X据/span>y据/span>+据/span>y据/span>2据/span>)据/span>和据span class="katex">
X据/span>3.据/span>-据/span>y据/span>3.据/span>=据/span>(据/span>X据/span>-据/span>y据/span>)据/span>(据/span>X据/span>2据/span>+据/span>X据/span>y据/span>+据/span>y据/span>2据/span>)据/span>:据/span> 因素据span class="katex">
2据/span>7.据/span>X据/span>3.据/span>-据/span>y据/span>3.据/span>.据/p>
我们有据/p>
2据/span>7.据/span>X据/span>3.据/span>-据/span>y据/span>3.据/span>=据/span>(据/span>3.据/span>X据/span>)据/span>3.据/span>-据/span>y据/span>3.据/span>=据/span>(据/span>3.据/span>X据/span>-据/span>y据/span>)据/span>(据/span>(据/span>3.据/span>X据/span>)据/span>2据/span>+据/span>3.据/span>X据/span>y据/span>+据/span>y据/span>2据/span>)据/span>=据/span>(据/span>3.据/span>X据/span>-据/span>y据/span>)据/span>(据/span>9.据/span>X据/span>2据/span>+据/span>3.据/span>X据/span>y据/span>+据/span>y据/span>2据/span>)据/span>.据/span>□据/span> 因素据span class="katex">
6.据/span>4.据/span>X据/span>3.据/span>+据/span>2据/span>7.据/span>y据/span>3.据/span>.据/p>
我们有据/p>
6.据/span>4.据/span>X据/span>3.据/span>+据/span>2据/span>7.据/span>y据/span>3.据/span>=据/span>(据/span>4.据/span>X据/span>)据/span>3.据/span>+据/span>(据/span>3.据/span>y据/span>)据/span>3.据/span>=据/span>(据/span>4.据/span>X据/span>+据/span>3.据/span>y据/span>)据/span>(据/span>(据/span>4.据/span>X据/span>)据/span>2据/span>-据/span>1据/span>2据/span>X据/span>y据/span>+据/span>(据/span>3.据/span>y据/span>)据/span>2据/span>)据/span>=据/span>(据/span>4.据/span>X据/span>+据/span>3.据/span>y据/span>)据/span>(据/span>1据/span>6.据/span>X据/span>2据/span>-据/span>1据/span>2据/span>X据/span>y据/span>+据/span>9.据/span>y据/span>2据/span>)据/span>.据/span>□据/span> 要考虑表单的三组据span class="katex">
X据/span>2据/span>+据/span>2据/span>X据/span>y据/span>+据/span>y据/span>2据/span>=据/span>(据/span>X据/span>+据/span>y据/span>)据/span>2据/span>和据span class="katex">
X据/span>2据/span>-据/span>2据/span>X据/span>y据/span>+据/span>y据/span>2据/span>=据/span>(据/span>X据/span>-据/span>y据/span>)据/span>2据/span>:据/span> 因素据span class="katex">
X据/span>2据/span>+据/span>6.据/span>X据/span>+据/span>9.据/span>.据/p>
我们有据/p>
X据/span>2据/span>+据/span>6.据/span>X据/span>+据/span>3.据/span>=据/span>X据/span>2据/span>+据/span>2据/span>(据/span>X据/span>⋅据/span>3.据/span>)据/span>+据/span>3.据/span>2据/span>=据/span>(据/span>X据/span>+据/span>3.据/span>)据/span>2据/span>.据/span>□据/span> 因素据span class="katex">
X据/span>2据/span>-据/span>4.据/span>X据/span>+据/span>4.据/span>.据/p>
我们有据/p>
X据/span>2据/span>-据/span>4.据/span>X据/span>+据/span>4.据/span>=据/span>X据/span>2据/span>-据/span>2据/span>(据/span>X据/span>⋅据/span>2据/span>)据/span>+据/span>2据/span>2据/span>=据/span>(据/span>X据/span>-据/span>2据/span>)据/span>2据/span>.据/span>□据/span> 因素据span class="katex">
2据/span>5.据/span>X据/span>2据/span>-据/span>2据/span>0.据/span>X据/span>+据/span>4.据/span>.据/p>
我们有据/p>
2据/span>5.据/span>X据/span>2据/span>-据/span>2据/span>0.据/span>X据/span>+据/span>4.据/span>=据/span>(据/span>5.据/span>X据/span>)据/span>2据/span>-据/span>2据/span>(据/span>5.据/span>X据/span>⋅据/span>2据/span>)据/span>+据/span>2据/span>2据/span>=据/span>(据/span>5.据/span>X据/span>-据/span>2据/span>)据/span>2据/span>.据/span>□据/span> 因素据span class="katex">
1据/span>6.据/span>X据/span>2据/span>-据/span>2据/span>4.据/span>X据/span>y据/span>+据/span>9.据/span>y据/span>2据/span>.据/p>
我们有据/p>
1据/span>6.据/span>X据/span>2据/span>-据/span>2据/span>4.据/span>X据/span>y据/span>+据/span>9.据/span>y据/span>2据/span>=据/span>(据/span>4.据/span>X据/span>)据/span>2据/span>-据/span>2据/span>(据/span>4.据/span>X据/span>⋅据/span>3.据/span>y据/span>)据/span>+据/span>(据/span>3.据/span>y据/span>)据/span>2据/span>=据/span>(据/span>4.据/span>X据/span>-据/span>3.据/span>y据/span>)据/span>2据/span>.据/span>□据/span> 要考虑表单的三组据span class="katex">
X据/span>2据/span>+据/span>(据/span>一种据/span>+据/span>B.据/span>)据/span>X据/span>+据/span>一种据/span>B.据/span>=据/span>(据/span>X据/span>+据/span>一种据/span>)据/span>(据/span>X据/span>+据/span>B.据/span>)据/span>:据/span> 在没有完全平方的情况下据span class="katex">
(据/span>X据/span>+据/span>y据/span>)据/span>2据/span>或据span class="katex">
(据/span>X据/span>-据/span>y据/span>)据/span>2据/span>,但领先的系数据span class="katex">
X据/span>是1,我们可以试着找到据span class="katex">
一种据/span>和据span class="katex">
B.据/span>这样据span class="katex">
一种据/span>⋅据/span>B.据/span>等于恒定术语,和据span class="katex">
一种据/span>+据/span>B.据/span>等于据span class="katex">
X据/span>.据/p>
因素据span class="katex">
X据/span>2据/span>+据/span>5.据/span>X据/span>+据/span>6.据/span>.据/p>
我们有据/p>
X据/span>2据/span>+据/span>5.据/span>X据/span>+据/span>6.据/span>=据/span>X据/span>2据/span>+据/span>(据/span>2据/span>+据/span>3.据/span>)据/span>X据/span>+据/span>(据/span>2据/span>×据/span>3.据/span>)据/span>=据/span>(据/span>X据/span>+据/span>2据/span>)据/span>(据/span>X据/span>+据/span>3.据/span>)据/span>.据/span>□据/span> 因素据span class="katex">
X据/span>2据/span>-据/span>3.据/span>X据/span>-据/span>4.据/span>.据/p>
我们有据/p>
X据/span>2据/span>-据/span>3.据/span>X据/span>+据/span>4.据/span>=据/span>X据/span>2据/span>+据/span>(据/span>1据/span>-据/span>4.据/span>)据/span>X据/span>+据/span>(据/span>1据/span>×据/span>(据/span>-据/span>4.据/span>)据/span>)据/span>=据/span>(据/span>X据/span>+据/span>1据/span>)据/span>(据/span>X据/span>-据/span>4.据/span>)据/span>.据/span>□据/span> 因素据span class="katex">
X据/span>2据/span>-据/span>1据/span>2据/span>X据/span>+据/span>3.据/span>5.据/span>.据/p>
我们有据/p>
X据/span>2据/span>-据/span>1据/span>2据/span>X据/span>+据/span>3.据/span>5.据/span>=据/span>X据/span>2据/span>+据/span>(据/span>-据/span>5.据/span>-据/span>7.据/span>)据/span>X据/span>+据/span>(据/span>(据/span>-据/span>5.据/span>)据/span>×据/span>(据/span>-据/span>7.据/span>)据/span>)据/span>=据/span>(据/span>X据/span>-据/span>5.据/span>)据/span>(据/span>X据/span>-据/span>7.据/span>)据/span>.据/span>□据/span> 因素据span class="katex">
2据/span>X据/span>2据/span>+据/span>4.据/span>X据/span>y据/span>-据/span>3.据/span>0.据/span>y据/span>2据/span>.据/p>
我们有据/p>
2据/span>X据/span>2据/span>+据/span>4.据/span>X据/span>y据/span>-据/span>3.据/span>0.据/span>y据/span>2据/span>=据/span>2据/span>(据/span>X据/span>2据/span>+据/span>2据/span>X据/span>y据/span>-据/span>1据/span>5.据/span>y据/span>2据/span>)据/span>=据/span>2据/span>(据/span>X据/span>2据/span>+据/span>(据/span>5.据/span>y据/span>-据/span>3.据/span>y据/span>)据/span>X据/span>+据/span>(据/span>5.据/span>y据/span>)据/span>×据/span>(据/span>-据/span>3.据/span>y据/span>)据/span>)据/span>=据/span>2据/span>(据/span>X据/span>+据/span>5.据/span>y据/span>)据/span>(据/span>X据/span>-据/span>3.据/span>y据/span>)据/span>.据/span>□据/span> 要考虑表单的三组据span class="katex">
一种据/span>C据/span>X据/span>2据/span>+据/span>(据/span>一种据/span>D.据/span>+据/span>B.据/span>C据/span>)据/span>X据/span>+据/span>B.据/span>D.据/span>=据/span>(据/span>一种据/span>X据/span>+据/span>B.据/span>)据/span>(据/span>C据/span>X据/span>+据/span>D.据/span>)据/span>:据/span> 因素据span class="katex">
2据/span>X据/span>2据/span>+据/span>4.据/span>X据/span>+据/span>2据/span>.据/p>
因素据span class="katex">
2据/span>X据/span>2据/span>:据/span>
2据/span>X据/span>和据span class="katex">
X据/span> 由于我们正在寻找全积极系数,我们可以忽略消极因素。据/p>
有了这个,有两个简单的因子分解据span class="katex">
(据/span>2据/span>X据/span>+据/span>1据/span>)据/span>(据/span>X据/span>+据/span>2据/span>)据/span>和据span class="katex">
(据/span>2据/span>X据/span>+据/span>2据/span>)据/span>(据/span>X据/span>+据/span>1据/span>)据/span>.据/p>
在这两个因素中,前期术语将是据span class="katex">
2据/span>X据/span>⋅据/span>X据/span>=据/span>2据/span>X据/span>2据/span>并且持续的术语将是据span class="katex">
1据/span>⋅据/span>2据/span>=据/span>2据/span>所以我们不必担心他们。让我们把注意力转移到正确的中项上据span class="katex">
4.据/span>X据/span>.据/p>
在分解中据span class="katex">
(据/span>2据/span>X据/span>+据/span>1据/span>)据/span>(据/span>X据/span>+据/span>2据/span>)据/span>,中项是据span class="katex">
(据/span>2据/span>X据/span>⋅据/span>2据/span>)据/span>+据/span>(据/span>1据/span>⋅据/span>X据/span>)据/span>=据/span>5.据/span>X据/span>,这是不正确的。据/p>
在分解中据span class="katex">
(据/span>2据/span>X据/span>+据/span>2据/span>)据/span>(据/span>X据/span>+据/span>1据/span>)据/span>,中项是据span class="katex">
(据/span>2据/span>X据/span>⋅据/span>1据/span>)据/span>+据/span>(据/span>2据/span>⋅据/span>X据/span>)据/span>=据/span>4.据/span>X据/span>这正是我们想要的。因式分解给出了正确的展开式据span class="katex">
(据/span>2据/span>X据/span>+据/span>2据/span>)据/span>(据/span>X据/span>+据/span>1据/span>)据/span>.据span class="katex">
□据/span> 因素据span class="katex">
2据/span>X据/span>y据/span>5.据/span>-据/span>1据/span>1据/span>X据/span>y据/span>4.据/span>-据/span>6.据/span>X据/span>y据/span>3.据/span>.据/p>
我们可以考虑到据span class="katex">
X据/span>y据/span>3.据/span>为了简化我们的工作:据/p>
2据/span>X据/span>y据/span>5.据/span>-据/span>1据/span>1据/span>X据/span>y据/span>4.据/span>-据/span>6.据/span>X据/span>y据/span>3.据/span>=据/span>X据/span>y据/span>3.据/span>(据/span>2据/span>y据/span>2据/span>-据/span>1据/span>1据/span>y据/span>-据/span>6.据/span>)据/span>.据/span> 现在我们可以集中注意力据span class="katex">
2据/span>y据/span>2据/span>-据/span>1据/span>1据/span>y据/span>-据/span>6.据/span>.据/p>
因素据span class="katex">
2据/span>y据/span>2据/span>:据/span>
2据/span>y据/span>和据span class="katex">
y据/span>那据span class="katex">
-据/span>2据/span>y据/span>和据span class="katex">
-据/span>y据/span> 我们可以尝试若有许多不同的组合。但有一点要注意到,自中期以来是据span class="katex">
-据/span>1据/span>1据/span>y据/span>,我们需要利用因子来得到这个数字据span class="katex">
-据/span>1据/span>1据/span>:据span class="katex">
2据/span>y据/span>×据/span>(据/span>-据/span>6.据/span>)据/span>和据span class="katex">
y据/span>×据/span>1据/span>就会得到我们想要的中项。据/p>
自从我们想要据span class="katex">
2据/span>y据/span>乘以据span class="katex">
-据/span>6.据/span>给出中项据span class="katex">
-据/span>6.据/span>必须存在于不同的括号中据span class="katex">
2据/span>y据/span>这样它就可以分发并乘以据span class="katex">
2据/span>y据/span>.据/p>
让我们来检查分解据span class="katex">
(据/span>2据/span>y据/span>+据/span>1据/span>)据/span>(据/span>y据/span>-据/span>6.据/span>)据/span>.首要的项是据span class="katex">
2据/span>y据/span>⋅据/span>y据/span>=据/span>2据/span>y据/span>2据/span>,恒定的术语是据span class="katex">
1据/span>⋅据/span>-据/span>6.据/span>=据/span>-据/span>6.据/span>根据需要。中间项是据span class="katex">
(据/span>2据/span>y据/span>⋅据/span>(据/span>-据/span>6.据/span>)据/span>)据/span>+据/span>1据/span>⋅据/span>y据/span>=据/span>-据/span>1据/span>1据/span>y据/span>如我们所愿。据/p>
所以据span class="katex">
2据/span>y据/span>2据/span>-据/span>1据/span>1据/span>y据/span>-据/span>6.据/span>=据span class="katex">
(据/span>2据/span>y据/span>+据/span>1据/span>)据/span>(据/span>y据/span>-据/span>6.据/span>)据/span>,暗示我们的最终答案是据/p>
此方法适用于据一种href="//www.parkandroid.com/wiki/applying-the-difference-of-two-squares-identity/" class="wiki_link" title="两个方格标识的差异" target="_blank">两个方格标识的差异据/a>.据/p>
此方法适用于据一种href="//www.parkandroid.com/wiki/applying-the-perfect-cube-identity/" class="wiki_link" title="立方体身份的总和和差异" target="_blank">立方体身份的总和和差异据/a>.据/p>
这种方法也称为通过观察分解。据/p>
当领先的系数据span class="katex">
X据/span>是据em>不是据/em>1,我们必须考虑主要系数和常数。据/p>
因素据span class="katex">
2据/span>:据/span>
1据/span>和据span class="katex">
2据/span>
因素据span class="katex">
-据/span>6.据/span>:据/span>
-据/span>2据/span>和据span class="katex">
3.据/span>那据span class="katex">
2据/span>和据span class="katex">
-据/span>3.据/span>那据span class="katex">
-据/span>1据/span>和据span class="katex">
6.据/span>那据span class="katex">
1据/span>和据span class="katex">
-据/span>6.据/span>