问题
计算题
分解因式:
(1)3x3﹣12x ;
(2)4(x+1)2﹣4(x+1)+1.
答案
解:(1)原式=3x(x2﹣22)
=3x(x+2)(x﹣2);
(2)原式=[2(x+1)]2﹣2 ×2(x+1)×1+12
=[2(x+1)﹣1]2
=[2x+2﹣1]2
=(2x+1)2.
分解因式:
(1)3x3﹣12x ;
(2)4(x+1)2﹣4(x+1)+1.
解:(1)原式=3x(x2﹣22)
=3x(x+2)(x﹣2);
(2)原式=[2(x+1)]2﹣2 ×2(x+1)×1+12
=[2(x+1)﹣1]2
=[2x+2﹣1]2
=(2x+1)2.