计算下列各题.(1)(x+y)•x2x2-y2+y2y-x;(2)a+2-42-a(3)a2-b2a2b+ab2÷a2-2ab+b2ab•1(b-a)2;(4)(x+2x-2+4x2-4x+4)÷xx

题目简介

计算下列各题.(1)(x+y)•x2x2-y2+y2y-x;(2)a+2-42-a(3)a2-b2a2b+ab2÷a2-2ab+b2ab•1(b-a)2;(4)(x+2x-2+4x2-4x+4)÷xx

题目详情

计算下列各题.
(1)(x+y)•
x2
x2-y2
+
y2
y-x

(2)a+2-
4
2-a

(3)
a2-b2
a2b+ab2
÷
a2-2ab+b2
ab
1
(b-a)2

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

(5)x-
4
2-x
+3
题型:解答题难度:中档来源:不详

答案

(1)原式=(x+y)•
x2
(x+y)(x-y)
-
y2
x-y
=
x2-y2
x-y
=x+y;
(2)原式=
(a+2)(a-2)+4
a-2
=
a2
a-2

(3)原式=
(a+b)(a-b)
ab(a+b)
class="stub"ab
(a-b)2
class="stub"1
(a-b)2
=class="stub"1
(a-b)3

(4)原式=class="stub"x+2
x-2
class="stub"x-2
x
+class="stub"4
(x-2)2
class="stub"x-2
x
=class="stub"x+2
x
+class="stub"4
x(x-2)
=
(x+2)(x-2)+4
x(x-2)
=class="stub"x
x-2

(5)原式=
(x+3)(x-2)+4
x-2
=
x2+x-2
x-2

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