(x-y)^2+3(x^2-y^2)-4(x+y)^2 因式分解

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(x-y)^2+3(x^2-y^2)-4(x+y)^2 因式分解

(x-y)^2+3(x^2-y^2)-4(x+y)^2 因式分解
(x-y)^2+3(x^2-y^2)-4(x+y)^2 因式分解

(x-y)^2+3(x^2-y^2)-4(x+y)^2 因式分解
(x-y)+3(x-y)-4(x+y) =(x-y)+3(x-y) (x+y)-4(x+y) =[(x-y)+ 4(x+y)][ (x-y)- (x+y)] =-2y(5x+3y) 也可以展开后,直接提取公因式
希望采纳

(x-y)^2+3(x^2-y^2)-4(x+y)^2 =(x-y)^2+3(x+y)(x-y)-4(x+y)^2 =[(x-y)+4(x+y)][(x-y)-(x+y)] =-2y(5x+3y) 谢谢采纳 楼下的CTAL+C+CTAL+v(复制粘贴)有意思吗?