问题 解答题

把下列各式分解因式:

(1)x3y-xy3

(2)(x2+4)-16x2

(3)x(y-z)-y(z-y)

答案

(1)x3y-xy3

=xy(x2-y2),

=xy(x+y)(x-y);

(2)(x2+4)-16x2

=(x2+4+4x)(x2+4-4x),

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

(3)x(y-z)-y(z-y),

=x(y-z)+y(y-z),

=(x+y)(y-z).

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