问题
解答题
因式分
(1)a2(x-y)+b2(y-x)
(2)x4-18x2+81.
答案
(1)原式=a2(x-y)-b2(x-y)=(x-y)(a2-b2)=(x-y)(a+b)(a-b);
(2)原式=(x2-9)2=【(x+3)(x-3)】2=(x+3)2(x-3)2.
因式分
(1)a2(x-y)+b2(y-x)
(2)x4-18x2+81.
(1)原式=a2(x-y)-b2(x-y)=(x-y)(a2-b2)=(x-y)(a+b)(a-b);
(2)原式=(x2-9)2=【(x+3)(x-3)】2=(x+3)2(x-3)2.