Question

分解公因式：2(m-n)^2-m(m-n) x(x-y)^2-y（y-x)^2 18(a-b)^3-12b(b-a)^2 (2a+b)(2a-3b)-3a(2a+b)

x(x+y)(x-y)-x(x+y)^2
每道题后面都有空格 别看错了

Answer 1

2(m-n)^2-m(m-n) = (m-n)[2(m-n)-m] = (m-n)(m-2n)
x(x-y)^2-y(y-x)^2 = x(x-y)^2-y(x-y)^2 = (x-y)^2 (x-y) = (x-y)^3
18(a-b)^3-12b(b-a)^2 = (a-b)^2 [18(a-b)-12b] = 6(a-b)^2(a-3b)
(2a+b)(2a-3b)-3a(2a+b) = (2a+b)(2a-3b-3a)= - (2a+b)(a+3b)
x(x+y)(x-y)-x(x+y)^2 = x(x+y)[(x-y)-(x+y)] = -2xy(x+y)

Answer 2

（x+y）(x(x-y)+x(x+y))=(x+y)x(x-y+x+y)=2x^2(x+y)

Answer 3

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