Simplifying Rational Expressions

[Pages:4]Kuta Software - Infinite Algebra 1

Simplifying Rational Expressions

Simplify each expression.

36x3

1)

- 42x2

Name___________________________________ Date________________ Period____

16r2 2) 16r3

16 p2 3)

28 p

32n2 4)

24n

70n2 5) -

28n 2r - 4 7) r - 2

x - 4 9) 3x2 - 12x

v - 5 11) v2 - 10v + 25

15n 6) 30n3

45 8)

10a - 10 15a - 3 10)

24 x + 6 12) x2 + 5x - 6

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Worksheet by Kuta Software LLC

27 13)

27x + 18 x2 + 8x + 12 15) x2 + 3x - 18 b2 + 3b - 28 17) b2 - 49 4n - 4 19) 6n - 20

6v3 + 42v2 21) 2v2 + 26v + 84

2v2 + 10v - 48 23)

8v + 64 x2 + 2x - 80 25) 2x3 - 24x2 + 64x

v2 - 7v - 30 14) v2 - 5v - 24

x2 - 11x + 18 16) x2 + 2x - 8

v2 - 3v - 40 18) v2 - 11v + 24

v2 - 5v - 14 20) v2 + 4v + 4

x3 - x2 - 42x 22) 2x2 - 20x + 42

9x2 + 81x 24) x3 + 8x2 - 9x

3r2 - 39r + 90 26) r2 - 3r - 70

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 1

Simplifying Rational Expressions

Simplify each expression.

36x3

1)

- 42x2

6 x -

7

16 p2 3)

28 p

4 p 7

70n2 5) -

28n 5 n - 2

2r - 4 7)

r - 2 2

x - 4 9) 3x2 - 12x

1 3 x

v - 5 11) v2 - 10v + 25

1 v - 5

Name___________________________________ Date________________ Period____

16r2 2) 16r3

1 r

32n2 4)

24n 4 n 3

15n 6) 30n3

1 2n2

45 8)

10a - 10 9

2(a - 1)

15a - 3 10)

24 5a - 1

8

x + 6 12) x2 + 5x - 6

1 x - 1

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Worksheet by Kuta Software LLC

27 13)

27x + 18 3

3x + 2

v2 - 7v - 30 14) v2 - 5v - 24

v - 10 v - 8

x2 + 8x + 12 15) x2 + 3x - 18

x + 2 x - 3

x2 - 11x + 18 16) x2 + 2x - 8

x - 9 x + 4

b2 + 3b - 28 17) b2 - 49

b - 4 b - 7

v2 - 3v - 40 18) v2 - 11v + 24

v + 5 v - 3

4n - 4 19)

6n - 20

2(n - 1)

3n - 10

v2 - 5v - 14 20) v2 + 4v + 4

v - 7 v + 2

6v3 + 42v2 21) 2v2 + 26v + 84

3v2 v + 6

x3 - x2 - 42x 22) 2x2 - 20x + 42

x(x + 6) 2(x - 3)

2v2 + 10v - 48 23)

8v + 64

v - 3 4

9x2 + 81x 24) x3 + 8x2 - 9x

9 x - 1

x2 + 2x - 80 25) 2x3 - 24x2 + 64x

x + 10

2x(x - 4)

3r2 - 39r + 90 26) r2 - 3r - 70

3(r - 3)

r + 7

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