问题
解答题
分解因式:
(1)a4-16;
(2)x2-2xy+y2-9.
答案
(1)a4-16=(a2)2-42,
=(a2-4)(a2+4),
=(a2+4)(a+2)(a-2);
(2)x2-2xy+y2-9,
=(x2-2xy+y2)-9,
=(x-y)2-32,
=(x-y-3)(x-y+3).
分解因式:
(1)a4-16;
(2)x2-2xy+y2-9.
(1)a4-16=(a2)2-42,
=(a2-4)(a2+4),
=(a2+4)(a+2)(a-2);
(2)x2-2xy+y2-9,
=(x2-2xy+y2)-9,
=(x-y)2-32,
=(x-y-3)(x-y+3).