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Advanced Algebra
Name___________________________________
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Addition of Rational Expressions(2)
Simplify each expression.
1)
m+6
m+3
2
6m - 30m
6m 2 - 30m
2)
4x + 2
x+5
12x - 36
12x - 36
3)
6
u - 5v
3
6v
6u 3
4)
3x 6x
+
6
3y
5)
5
x + 6y
2
5x y
5
6)
3
3x
+
2 5xy 2
7)
2
3x
2
4x y
4
8)
6
6
+
2
5y
4
Worksheet by Kuta Software LLC
-1-
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9)
5y
2
2
4x y
4x 2
10)
2
4
x-4
x+1
11)
6
4
6n
2n - 5
12)
b+6
3b
2
9b + 3b
2
13)
5
4
2
3
9a + 12a
14)
6x
x+3
5x + 5
x-6
15)
5n
4
3n + 3
3n 2
16)
2
3x
+
x - 2 5x + 2
Worksheet by Kuta Software LLC
-2-
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Advanced Algebra
Name___________________________________
©` D2x0b1a7Q XKAuStaaF ISGotfcttwwawrnea OLgLXCd.X v AAflZlw BrLiIgYhNtKsh ]rTeHsbeFrmvye]do.
Addition of Rational Expressions(2)
Simplify each expression.
1)
m+6
m+3
2
6m - 30m
6m 2 - 30m
2)
x-1
4x - 12
1
2m - 10m
2
3)
6
u - 5v
3
6v
6u 3
4)
6u 3 - v 3 u + 5v 4
6v 3 u 3
5)
5
x + 6y
2
5x y
5
2
3x
2
4x y
4
3x 6x
+
6
3y
xy + 4x
2y
6)
5 - x 3 y - 6x 2 y 2
5x 2 y
7)
4x + 2
x+5
12x - 36
12x - 36
3
3x
+
2 5xy 2
15 y 2 + 6
10 y 2
8)
2 - 3x 3 y
4x 2 y
6
6
+
2
5y
4
12 + 15 y 2
10 y 2
Worksheet by Kuta Software LLC
-1-
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9)
5y
2
2
4x y
4x 2
10)
3
4x 2
11)
6
4
6n
2n - 5
-2x + 18
( x - 4)( x + 1)
12)
5
4
2
3
9a + 12a
14)
15a 2 + 20a - 4
3a(3a + 4)
15)
5n
4
3n + 3
3n 2
b+6
3b
2
9b + 3b
2
2b + 12 - 27b 3 - 9b 2
6b(3b + 1)
-2n - 5
n(2n - 5)
13)
2
4
x-4
x+1
6x
x+3
5x + 5
x-6
x 2 - 56x - 15
5( x - 6)( x + 1)
16)
5n 3 - 4n - 4
3n 2 (n + 1)
2
3x
+
x - 2 5x + 2
4x + 4 + 3x 2
( x - 2)(5x + 2)
Worksheet by Kuta Software LLC
-2-
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