问题
解答题
分解因式:
(1)9a2-6a+1
(2)(2m-3n)2-(2m-3n)
(3)m3-6m2+9m
(4)16mn4-m.
答案
(1)9a2-6a+1=(3a-1)2;
(2)(2m-3n)2-(2m-3n)=(2m-3n)(2m-3n-1);
(3)m3-6m2+9m=m(m2-6m+9)=m(m-3)2;
(4)16mn4-m=m(16n4-1)=m(4n2+1)(2n+1)(2n-1).