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5.2 Simplifying, Multiplying and Dividing Rational Expressions

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Algebra 2 ID: 1

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5.2 Simplifying, multiplying and dividing rational expressions


Simplify each and state the excluded values.
90r 4 63b 4
1) 2)
45r 3 81b 7

8 x 2 + 56 x 63b 2
3) 4)
x+7 14b + 35

3n 2 - 5n + 2 63 p 2 - 27 p
5) 6)
2n 2 + 2n - 4 63 p 2 + 18 p

9 4r 2 8 9x2
7) × 8) ×
5r 2 9 7 9

10 x 2 + 60 x ( 2n 49n - 7
9) 7 x - 7) 10) ×
7x - 7 7 21n 2 - 3n

10 x + 14 7 x 3 + 56 x 2 7n + 56 14n 2 + 74n + 20
11) × 12) ×
2 50 x 3 + 70 x 2 7n 2 - 19n - 6 2n + 10

9n 3 10n 5 5
13) ¸ 14) ¸
6 5 6n 2

7b - 5 9 x+5 1
15) 2 ¸ 2 16) 2 ¸ 2
35b - 46b + 15 40b - 24b 35 x + 45 x + 10 35 x + 45 x + 10

2v 2 + 11v + 12 16v 2 + 24v 2x + 4 8x - 8


17) ¸ 18) ¸
18v - 42 24v 2 - 56v 10 x + 20 4 x - 4 x 2

Worksheet by Kuta Software LLC


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Answers to 5.2 Simplifying, multiplying and dividing rational expressions (ID: 1)
1) 2r ; {0} 3) 8 x ; {-7} 9b 2
2)
7
; {0}
9b 3
4) ; -
5
2b + 5
2
2 { }
5)
3n - 2
2( n + 2 )
; {1, -2}
9) 10 x( x + 6); {1}
6)
7p - 3
7p + 2
; 0, -{ }
2
7
7)
4
5
; {0 }
7( x + 8 )
8)
8x
7
; None

7( n + 8 )
2
10) ; 0,
3
1
7 { }
3n 2
11)
10
; 0, -
7
5{ }
12)
n-3
2
{
; 3, - , -5
7 } 13)
4
; {0}
1
14) ; {0}
3n
8b 3 5
15) ; , , 0
9 5 7 { } 16) x + 5; -1, -
2
7 { } 17)
v+4 7
6 3 {
; , 0, -
3
2 } 18) -
x
10
; {-2, 0, 1}

Worksheet by Kuta Software LLC


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