问题
解答题
把下列各式因式分解.
(1)-4m3+16m2-26m;
(2)x3-2x2y+xy2;
(3)x3-x;
(4)(x2-3x)2-(3x-1)2.
答案
(1)原式=-2m(m2-8m+13);
(2)原式=x(x2-2xy+y2)
=x(x-y)2;
(3)原式=x(x2-1)
=x(x+1)(x-1);
(4)原式=(x2-3x+3x-1)(x2-3x-3x+1)
=(x2-1)(x2-6x+1)
=(x+1)(x-1)(x2-6x+1)