把下列各式分解因式: (1)−m29−1+2m/3 (2)1/2p2−2pq (3)a2(a-3)-a+3 (4)2xy-x2-y2+1 (5)(m-n)3+(n-m)m2 (6)4(x+2y)2-25(x-y)2

问题描述:

把下列各式分解因式:
(1)

m2
9
−1+
2m
3

(2)
1
2
p2−2pq

(3)a2(a-3)-a+3
(4)2xy-x2-y2+1
(5)(m-n)3+(n-m)m2
(6)4(x+2y)2-25(x-y)2

(1)−m29−1+2m3=-19(m2+9-6m)=−19(m−3)2;(2)12p2−2pq=12p(p−4q);(3)a2(a-3)-a+3=a2(a-3)-(a-3)=(a-3)(a2-1)=(a-3)(a+1)(a-1);(4)2xy-x2-y2+1=1-(x2-2xy+y2)=1-(x-y)2=(1+x-y...