问题
计算题
因式分解:
(1)x3﹣2x2+x;
(2)(x2+4)2﹣16x2.
答案
解:(1)x3﹣2x2+x,
=x(x2﹣2x+1),
=x(x﹣1)2;
(2)(x2+4)2﹣16x2,
=(x2+4﹣4x)(x2+4+4x),
=(x+2)2(x﹣2)2.
因式分解:
(1)x3﹣2x2+x;
(2)(x2+4)2﹣16x2.
解:(1)x3﹣2x2+x,
=x(x2﹣2x+1),
=x(x﹣1)2;
(2)(x2+4)2﹣16x2,
=(x2+4﹣4x)(x2+4+4x),
=(x+2)2(x﹣2)2.