4(a+b)^2(x-y)+9(a-b)^2(y-x)怎么算

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4(a+b)^2(x-y)+9(a-b)^2(y-x)怎么算4(a+b)^2(x-y)+9(a-b)^2(y-x)怎么算4(a+b)^2(x-y)+9(a-b)^2(y-x)怎么算4(a+b)^2(x

4(a+b)^2(x-y)+9(a-b)^2(y-x)怎么算
4(a+b)^2(x-y)+9(a-b)^2(y-x)怎么算

4(a+b)^2(x-y)+9(a-b)^2(y-x)怎么算
4(a+b)^2(x-y)+9(a-b)^2(y-x)
=(x-y)[2(a+b)²-9(a-b)²]
=(x-y)(2a+2b+3a-3b)(2a+2b-3a+3b)
=(x-y)(5a-b)(-a+5b)

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)