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)

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