问题
解答题
因式分
(1)2x(a-b)-(b-a)
(2)a2-3a-18
(3)(x2+y2)2-4x2y2.
答案
(1)原式=2x(a-b)+(a-b)
=(a-b)(2x+1);
(2)原式=(a+3)(a-6);
(3)原式=(x2+y2+2xy)(x2+y2-2xy)
=(x+y)2(x-y)2.
因式分
(1)2x(a-b)-(b-a)
(2)a2-3a-18
(3)(x2+y2)2-4x2y2.
(1)原式=2x(a-b)+(a-b)
=(a-b)(2x+1);
(2)原式=(a+3)(a-6);
(3)原式=(x2+y2+2xy)(x2+y2-2xy)
=(x+y)2(x-y)2.