问题
解答题
将下列各式分解因式:
(1)a2+ab+a (2)m2-9
(3)x3+6x2+9x (4)a4-8a2b2+16b4
答案
(1)a2+ab+a=a(a+b+1);
(2)m2-9=(m+3)(m-3);
(3)x3+6x2+9x,
=x(x2+6x+9),
=x (x+3)2;
(4)a4-8a2b2+16b4,
=(a2-4b2)2,
=(a+2b)2(a-2b)2.
将下列各式分解因式:
(1)a2+ab+a (2)m2-9
(3)x3+6x2+9x (4)a4-8a2b2+16b4
(1)a2+ab+a=a(a+b+1);
(2)m2-9=(m+3)(m-3);
(3)x3+6x2+9x,
=x(x2+6x+9),
=x (x+3)2;
(4)a4-8a2b2+16b4,
=(a2-4b2)2,
=(a+2b)2(a-2b)2.