问题 解答题

因式分解:

(1)m3-m

(2)xn+2-2xn+1+xn

(3)x2-11x-60

(4)(x+y)2-4(x+y-1)

答案

(1)m3-m,

=m(m2-1),

=m(m-1)(m+1);

(2)xn+2-2xn+1+xn

=xn(x2-2x+1),

=xn(x-1)2

(3)x2-11x-60=(x-15)(x+4);

(4)(x+y)2-4(x+y-1),

=(x+y)2-4(x+y)+4

=(x+y-2)2

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