分解因式：-5ab³+10ab²-5ab;(x²+y²)²-4x²y².

题目

分解因式：-5ab³+10ab²-5ab;(x²+y²)²-4x²y².

答案

-5ab³+10ab²-5ab
=-5ab(b^2-2b+1)
=-5ab(b-1)^2
(x²+y²)²-4x²y²
=(x²+y²)²-(2xy)²
=(x²+y²-2xy)(x²+y²+2xy)
=(x-y)^2(x+y)^2
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