4(a+b)^2(x-y)+9(a-b)^2(y-x)怎么算
问题描述:
4(a+b)^2(x-y)+9(a-b)^2(y-x)怎么算
答
4(a+b)^2(x-y)+9(a-b)^2(y-x)
=4(a+b)^2(x-y)-9(a-b)^2(x-y)
=(x-y)[4(a+b)^2-9(a-b)^2]
=(x-y)[2(a+b)-3(a-b)][2(a+b)+3(a-b)]
=(x-y)(5b-a)(5a-b)