(a+b)^4-(a+b)^2x^2(x-y)+y^2(x-y)(7m+3n)^2-(5m+7n)^2

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/27 22:19:05
(a+b)^4-(a+b)^2x^2(x-y)+y^2(x-y)(7m+3n)^2-(5m+7n)^2(a+b)^4-(a+b)^2x^2(x-y)+y^2(x-y)(7m+3n)^2-(5m+7n)

(a+b)^4-(a+b)^2x^2(x-y)+y^2(x-y)(7m+3n)^2-(5m+7n)^2
(a+b)^4-(a+b)^2
x^2(x-y)+y^2(x-y)
(7m+3n)^2-(5m+7n)^2

(a+b)^4-(a+b)^2x^2(x-y)+y^2(x-y)(7m+3n)^2-(5m+7n)^2
1、(a+b)^4-(a+b)^2
=<(a+b)^ 2+a+b)><(a+b)^2-a-b>
=(a+b)(a+b+1)<(a+b)^2-a-b>
2、x^2(x-y)+y^2(x-y)
=(x-y)(x^2-y^2)
=(x-y)(x+y)(x-y)
=(x+y)(x-y)^2
3、(7m+3n)^2-(5m+7n)^2
=(7m+3n+5m+7n)(7m+3n-5m-7n)
=(12m+10n)(2m-4n)
=4(6m+5n)(m-2n)