问题 解答题

分解因式

(1)2a3-4a2b+2ab2

(2)x4-y4

(3)4x2+3(4xy+3y2).

答案

(1)2a3-4a2b+2ab2

=2a(a2-2ab+b2),

=2a(a-b)2

(2)x4-y4

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

=(x2+y2)(x+y)(x-y);

(3)4x2+3(4xy+3y2),

=4x2+12xy+9y2

=(2x+3y)2

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