化简求值.(1)[(x+y)(x-y)-(x-y)2+2y(x-y)]÷(-2y),其中x=-12,y=2.(2)已知x2-2x-2=0,求(x-1)2+(x+3)(x-3)+(x-3)(x-1)的值

题目简介

化简求值.(1)[(x+y)(x-y)-(x-y)2+2y(x-y)]÷(-2y),其中x=-12,y=2.(2)已知x2-2x-2=0,求(x-1)2+(x+3)(x-3)+(x-3)(x-1)的值

题目详情

化简求值.
(1)[(x+y)(x-y)-(x-y)2+2y(x-y)]÷(-2y),其中x=-
1
2
,y=2.
(2)已知x2-2x-2=0,求(x-1)2+(x+3)(x-3)+(x-3)(x-1)的值.
题型:解答题难度:中档来源:不详

答案

(1)原式=(x-y)[(x+y)-(x-y)+2y]÷(-2y)
=2y-2x,
当 x=-class="stub"1
2
,y=2时,原式=2×2-2×(-class="stub"1
2
)=5;

(2)原式=x2-2x+1+x2-9+x2-4x+3
=3x2-6x-5,
原式=3(x2-2x)-5
=3×2-5=1.

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