https://loveav.cn/tags/%E6%81%92%E7%AD%89%E5%BC%8F/ Recent content in 恒等式 on 伊特瑞特 https://loveav.cn/%3Clink%20or%20path%20of%20image%20for%20opengraph,%20twitter-cards%3E https://loveav.cn/%3Clink%20or%20path%20of%20image%20for%20opengraph,%20twitter-cards%3E Hugo -- 0.134.3 zh-cn Wed, 25 Sep 2024 10:30:00 +0800 https://loveav.cn/posts/math/hds/ Wed, 25 Sep 2024 10:30:00 +0800 https://loveav.cn/posts/math/hds/ <p><strong>数学中常见的恒等式</strong></p> <table> <thead> <tr> <th style="text-align: left">左</th> <th style="text-align: left">等号</th> <th style="text-align: left">右</th> </tr> </thead> <tbody> <tr> <td style="text-align: left">$a^2 − b^2$</td> <td style="text-align: left">=</td> <td style="text-align: left">$(a+b)(a−b)$</td> </tr> <tr> <td style="text-align: left">$a^2 + 2ab + b^2$</td> <td style="text-align: left">=</td> <td style="text-align: left">$(a+b)(a+b)$</td> </tr> <tr> <td style="text-align: left">$a^2 − 2ab + b^2$</td> <td style="text-align: left">=</td> <td style="text-align: left">$(a−b)(a−b)$</td> </tr> <tr> <td style="text-align: left">$a^3 + b^3$</td> <td style="text-align: left">=</td> <td style="text-align: left">$(a+b)(a^2−ab+b^2)$</td> </tr> <tr> <td style="text-align: left">$a^3 − b^3$</td> <td style="text-align: left">=</td> <td style="text-align: left">$(a−b)(a^2+ab+b^2)$</td> </tr> <tr> <td style="text-align: left">$a^3+3a^2b+3ab^2+b^3$</td> <td style="text-align: left">=</td> <td style="text-align: left">$(a+b)^3$</td> </tr> <tr> <td style="text-align: left">$a^3−3a^2b+3ab^2−b^3$</td> <td style="text-align: left">=</td> <td style="text-align: left">$(a−b)^3$</td> </tr> </tbody> </table>