问题
解答题
因式分
(1)x3-25x (2)x2+4x+4 (3)-3mn2+12mn-12m
(4)(x2-6)2-6(x2-6)+9 (5)9x2(a-b)+y2(b-a) (6)y2-y-20.
答案
(1)原式=x(x2-25)=x(x+5)(x-5);
(2)原式=(x+2)2;
(3)原式=-3m(n2-4n+4)=-3m(n-2)2;
(4)原式=[(x2-6)-3]2=(x2-9)2=(x+3)2(x-3)2;
(5)原式=9x2(a-b)-y2(a-b)=(a-b)(9x2-y2)=(a-b)(3x+y)(3x-y);
(6)原式=(y-5)(y+4).