问题
解答题
分解因式:
(1)x2y-4y;
(2)ax2-4ax+4a
(3)(x-y)2+4(x-y)
(4)(a2+b2)2-4a2b2.
答案
(1)原式=y(x2-4)
=y(x+2)(x-2);
(2)原式=a(x2-4x+4)
=a(x-2)2;
(3)原式=(x-y)(x-y+4);
(4)原式=(a2+b2+2ab)(a2+b2-2ab)
=(a+b)2(a-b)2.
分解因式:
(1)x2y-4y;
(2)ax2-4ax+4a
(3)(x-y)2+4(x-y)
(4)(a2+b2)2-4a2b2.
(1)原式=y(x2-4)
=y(x+2)(x-2);
(2)原式=a(x2-4x+4)
=a(x-2)2;
(3)原式=(x-y)(x-y+4);
(4)原式=(a2+b2+2ab)(a2+b2-2ab)
=(a+b)2(a-b)2.