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

问题描述:

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

(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)

(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)

(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)