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+b22-4a2b2

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

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