分解公因式分解 x(y-3)-(2y-6) 2.(x+y)^3-(x-y)^2(x+y) 3.x(x^2-xy)-(4x^2-4xy)
问题描述：
分解公因式分解 x(y-3)-(2y-6) 2.(x+y)^3-(x-y)^2(x+y) 3.x(x^2-xy)-(4x^2-4xy)
答
1.原式=x(y-3)-2(y-3)
=(x-2)(y-3)
2.原式=(x+y)[(x+y)^2 - (x-y)^2]
=4 x y (x+y)
3.原式=x(x^2 - xy)-4(x^2-xy)
=(x-4)(x^2 - xy)
=x(x-4)(x-y
答
x(y-3)-(2y-6) =x(y-3)-2(y-3)=(y-3)(x-2)2.(x+y)^3-(x-y)^2(x+y) =(x+y)[(x+y)²-(x-y)²]=4xy(x+y)3.x(x^2-xy)-(4x^2-4xy)=x(x²-xy)-4(x²-xy)=(x²-xy)(x-4)=x(x-y)(x-4)