问题
解答题
因式分
(1)4a2+6ab+2a;
(2)2x2-12x+18;
(3)3x2-27;
(4)-a2b2+2abc2-c4.
答案
(1)4a2+6ab+2a=2a(2a+3b+1);
(2)2x2-12x+18
=2(x2-6x+9)
=2(x-3)2;
(3)3x2-27
=3(x2-9)
=3(x+3)(x-3);
(4)-a2b2+2abc2-c4
=-(a2b2-2abc2+c4)
=(ab-c2)2.