Question

求解两道因式分解

2a^2(x-y)^3-2ab(y-x)^2
(a+b)^（n+2）-(a+b)^n
用提公因式法或者平方差，在线等，急

Answer 1

2a^2(x-y)^3-2ab(y-x)^2
=2a(x-y)²[a(x-y)-b]
=2a(x-y)²（ax-ay-b）

(a+b)^（n+2）-(a+b)^n
=(a+b)^n[(a+b)²-1]
=(a+b)^n(a+b+1)(a+b-1)

Answer 2

2a^2(x-y)^3-2ab(y-x)^2
=2a(x-y)²[a(x-y)-b]
=2a(x-y)²(ax-ay-b)

(a+b)^（n+2）-(a+b)^n
=(a+b)^n[(a+b)²-1]
=(a+b)^n(a+b+1)(a+b-1)

祝学习进步，望采纳~~