问题
解答题
因式分
(1)a2-2ab+b2-4; (2)x3-x2-4x+4.
答案
(1)a2-2ab+b2-4
=(a-b)2-4
=(a-b+2)(a-b-2);
(2)x3-x2-4x+4
=x3-4x-x2+4
=x(x2-4)-(x2-4)
=(x+2)(x-2)(x-1)
因式分
(1)a2-2ab+b2-4; (2)x3-x2-4x+4.
(1)a2-2ab+b2-4
=(a-b)2-4
=(a-b+2)(a-b-2);
(2)x3-x2-4x+4
=x3-4x-x2+4
=x(x2-4)-(x2-4)
=(x+2)(x-2)(x-1)