题目内容
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)
(1)m3-m
(2)xn+2-2xn+1+xn
(3)x2-11x-60
(4)(x+y)2-4(x+y-1)
(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.
=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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