问题
解答题
因式分解
(1)4a2-16
(2)(x-2)(x-4)+1
(3)x4-8x2y2+16y4
答案
(1)4a2-16,
=4(a2-4),
=4(a+2)(a-2);
(2)(x-2)(x-4)+1,
=x2-6x+9,
=(x-3)2;
(3)x4-8x2y2+16y4,
=(x2-4y2)2,
=[(x+2y)(x-2y)]2,
=(x+2y)2(x-2y)2.
因式分解
(1)4a2-16
(2)(x-2)(x-4)+1
(3)x4-8x2y2+16y4
(1)4a2-16,
=4(a2-4),
=4(a+2)(a-2);
(2)(x-2)(x-4)+1,
=x2-6x+9,
=(x-3)2;
(3)x4-8x2y2+16y4,
=(x2-4y2)2,
=[(x+2y)(x-2y)]2,
=(x+2y)2(x-2y)2.