问题
计算题
将下列各式分解因式:
(1)m3﹣8m2+16m;
(2)(x+2)(x+3)+x2﹣4.
答案
解:(1)m3﹣8m2+16m
=m(m2﹣8m+16)
=m(m﹣4)2;
(2)(x+2)(x+3)+x2﹣4
=(x+2)(x+3)+(x﹣2)(x+2)
=(x+2)(2x+1).
将下列各式分解因式:
(1)m3﹣8m2+16m;
(2)(x+2)(x+3)+x2﹣4.
解:(1)m3﹣8m2+16m
=m(m2﹣8m+16)
=m(m﹣4)2;
(2)(x+2)(x+3)+x2﹣4
=(x+2)(x+3)+(x﹣2)(x+2)
=(x+2)(2x+1).