问题 解答题

把下列各式分解因式

(1)(x2+y22-4x2y2;(2)3x3-12x2y+12xy2

答案

(1)(x2+y22-4x2y2

=(x2+y2+2xy)(x2+y2-2xy),

=(x+y)2(x-y)2

(2)3x3-12x2y+12xy2

=3x(x2-4xy+4y2),

=3x(x-2y)2

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