因式分解(x-y)^2+4(x^2-y^2)+4(x+y)^2 a(x^2+2xy+y^2)-b(x^2-y^2) (x+1)(x+2)+1/4

因式分解(x-y)^2+4(x^2-y^2)+4(x+y)^2 a(x^2+2xy+y^2)-b(x^2-y^2) (x+1)(x+2)+1/4
因式分解(x-y)^2+4(x^2-y^2)+4(x+y)^2 a(x^2+2xy+y^2)-b(x^2-y^2)(x+1)(x+2)+1/4

数学人气：460 ℃时间：2019-11-06 09:51:45

优质解答

(x-y)^2+4(x^2-y^2)+4(x+y)^2=(3x+y)^2
a(x^2+2xy+y^2)-b(x^2-y^2)=(a-b)x^2+2axy+(a+b)y^2
(x+1)(x+2)+1/4=x^2+3x+9/4 =(X+3/2)^2

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