Question

因式分解 (m+n)(x-y)-(m+n)(x+y) (x-2y)(2x+3y)-2(2y-x)(5x-y) 要过程！！

2道因式分解 （m+n)(x-y)-(m+n)(x+y)
(x-2y)(2x+3y)-2(2y-x)(5x-y)

急急急急急急急！！！！！！！！！！！

Answer 1

（m+n)(x-y)-(m+n)(x+y)
= (m+n)(x-y-x-y)
= -2(m+n)y

(x-2y)(2x+3y)-2(2y-x)(5x-y)
= (x-2y)(2x+3y+10x-2y)
= (x-2y)(12x+y)

Answer 2

（m+n)(x-y)-(m+n)(x+y)
=（m+n）[（x-y)-(x+y)]
=-2y（m+n)

(x-2y)(2x+3y)-2(2y-x)(5x-y)
=(x-2y)(2x+3y)+2(x-2y)(5x-y)
=(x-2y)[(2x+3y)+2(5x-y)]
=(x-2y)[2x+3y+10x-2y]
=(x-2y)(12x+y)

Answer 3

（m+n)(x-y)-(m+n)(x+y) =（m+n){(x-y)-(x+y)} =-2y(m+n)
(x-2y)(2x+3y)-2(2y-x)(5x-y)=12*x^2-23*x*y-2*y^2=(12*x+y)*(x-2*y)