计算下列各题:(1)1x-3+69-x2-x-16-2x;(2)(x+2yx+y-xy)÷(xy+2-xx-y)-数学

题目简介

计算下列各题:(1)1x-3+69-x2-x-16-2x;(2)(x+2yx+y-xy)÷(xy+2-xx-y)-数学

题目详情

计算下列各题:
(1)
1
x-3
+
6
9-x2
-
x-1
6-2x

(2)(
x+2y
x+y
-
x
y
)÷(
x
y
+2-
x
x-y
)
题型:解答题难度:中档来源:不详

答案

(1)class="stub"1
x-3
+class="stub"6
9-x2
-class="stub"x-1
6-2x

=
2(x+3)
2(x2-9)
-class="stub"12
2(x2-9)
+
(x-1)(x+3)
2(x2-9)

=
2x+6-12+x2+3x-x-3
2(x2-9)

=
x2+4x-9
2(x2-9)


(2)(class="stub"x+2y
x+y
-class="stub"x
y
)÷(class="stub"x
y
+2-class="stub"x
x-y
)

=
y(x+2y)-x(x+y)
y(x+y)
÷
x(x-y)+2y(x-y)-xy
y(x-y)

=
2y2-x2
y(x+y)
y(x-y)
x2-2y2

=-class="stub"x-y
x+y

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