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)

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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)
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)

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)
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)

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