因式分解 (1)25x^3y^5-5x^2y^2 (2)4(a+b)^2-4(a+b)+1 (3)x^4-y^4 (4)-a+2a^2-a^3
人气:390 ℃ 时间:2020-03-28 02:22:59
解答
(1)25x^3y^5-5x^2y^2
=5x²y²(5xy³-1)
(2)4(a+b)^2-4(a+b)+1
=[2(a+b)-1]²
=(2a+2b-1)²
(3)x^4-y^4
=(x²+y²)(x²-y²)
=(x²+y²)(x+y)(x-y)
(4)-a+2a^2-a^3
=-a(1-2a+a²)
=-a(1-a)²
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