因式分解1.(x^2-y^2)(x+y)-(x-y)^3 2.(a-b)^4-(b-a)^2 3.x^4-x^2 急
问题描述:
因式分解1.(x^2-y^2)(x+y)-(x-y)^3 2.(a-b)^4-(b-a)^2 3.x^4-x^2 急
答
(x²-y²)(x+y)-(x-y)³=(x-y)(x+y)²-(x-y)³ 提取公因式(x-y)=(x-y)[(x+y)²-(x-y)²] 中括号内运用平方差公式分解=(x-y)[(x+y)+(x-y)][(x+y)-(x-y)]=(x-y)×2x▪2y=4xy(x-y)(a-...