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求教一个算式的结果

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lemondian posted 2023-6-24 23:31 |Read mode
1.$\dfrac{kx(1+x)}{k(1-x)+2x}+\dfrac{x^2(1+x)^2}{[k(1-x)+2x]^2}-\dfrac{(k+1)x(1+x)}{(k+1)(1-x)+2x}$
2.$\dfrac{(1-k)x^2(1-x)^2(1+x)}{[k(1-x)+2x]^2[(k+1)(1-x)+2x]}$
请问:1式与2式是否相等?(别人说相等)
算了好久,没算出来。。。

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realnumber posted 2023-6-25 10:07
zh.numberempire.com/simplifyexpression.php
这个网址估计可以化简的,自己输吧
要不装个几何画板或ggb画下图,或者什么数学软件

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战巡 posted 2023-6-25 10:53
p0192.png
是相等没错

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original poster lemondian posted 2023-6-25 16:16
非常感谢两位的帮助!

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