分解下列因式:(1)(y-x)2+2x-2y(2)a2-16(a-b)2-八年级数学
(1)解:原式=(x-y)2+2(x-y) =(x-y)[(x-y)+2] =(x-y)(x-y+2) =(x-y)(x-y+2) (2)解:原式=[a+4(a-b)][a-4(a-b)] =(5a-4b)(-3a+4b) =(5a-4b)(4b-3a)
题目简介
分解下列因式:(1)(y-x)2+2x-2y(2)a2-16(a-b)2-八年级数学
题目详情
(1)(y-x)2+2x-2y
(2)a2-16(a-b)2
答案
(1)解:原式=(x-y)2+2(x-y)
=(x-y)[(x-y)+2]
=(x-y)(x-y+2)
=(x-y)(x-y+2)
(2)解:原式=[a+4(a-b)][a-4(a-b)]
=(5a-4b)(-3a+4b)
=(5a-4b)(4b-3a)