问题 解答题
(1)计算:22-(
3
-1)0+(
1
2
)-1

(2)已知x=2007,y=2008,求
x2+2xy+y2
5x2-4xy
÷
x+y
5x-4y
+
x2-y
x
的值.
答案

(1)原式=4-1+2=5;

(2)原式=

(x+y)2
x(5x-4y)
×
5x-4y
x+y
+
x2-y
x

=

x+y
x
+
x2-y
x
(4分)

=

x+x2
x

=x+1.(6分)

∴当x=2007,y=2008时,原式=2007+1=2008.(7分)

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