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.