问题 解答题

(1)计算:(y+2)(y-2)-(y-1)(y+5);

(2)已知2x-y=10,求[(x2+y2)-(x-y)2+2y(x-y)]÷y的值.

答案

(1)原式=y2-4-y2-4y+5

=1-4y;

(2)∵2x-y=10,

∴[(x2+y2)-(x-y)2+2y(x-y)]÷y

=(x2+y2-x2+2xy-y2+2xy-2y2)÷y

=(4xy-2y2)÷y

=4x-2y

=2(2x-y)

=20.

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