问题 解答题

因式分解

(1)-2x3+18x

(2)a2(x-y)+(y-x)

答案

(1)-2x3+18x

=-(2x3-18x)

=-2x(x2-9)

=-2x(x-3)(x+3);

(2)a2(x-y)+(y-x)

=a2(x-y)-(x-y)

=(x-y)(a2-1)

=(x-y)(a-1)(a+1).

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