问题 解答题
(1)计算:|
3
-2|+
3-8
+
(-2)2

(2)分解因式:(p-4)(p+1)+3p;
(3)先化简,再求值:[(x+y)2-y(2x+y)-8x]÷2x,其中x=-2.
答案

(1)原式=2-

3
-2+2

=2-

3

(2)原式=p2+p-4p-4+3p

=p2-4

=(p+2)(p-2);

(3)[(x+y)2-y(2x+y)-8x]÷2x

=[x2+2xy+y2-2xy-y2-8x]÷2x

=[x2-8x]÷2x

=

1
2
x-4,

当x=-2时,原式=

1
2
×(-2)-4=-5.

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