Adding and Subtracting Polynomials - Kuta Software

Kuta Software - Infinite Pre-Algebra

Adding and Subtracting Polynomials

Simplify each expression.

1) (5 + 5n3) - (1 - 3n3)

Name___________________________________ Date________________ Period____

2) (6a - 3a2) + (2a2 - 3a)

3) (x2 - x) + (8x - 2x2)

4) (2a2 + 4a3) - (3a3 + 8)

5) (5x2 + 4) - (5 + 5x3)

6) (8n2 - 2n3) + (6n3 - 8n2)

7) (8b3 + 8) - (6 - 7b3)

8) (4x3 - 6) + (5x3 + 3)

9) (10 p4 + 11) - (11 p4 + 13 + 16 p2)

10) (20v2 - 9v3) - (7v3 - 10v4 - 14v2)

11) (10x4 - 16) + (12 - 6x3 + 11x4)

12) (14 + 12a3) + (17a4 + 15 - 5a3)

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Worksheet by Kuta Software LLC

13) (17v2 - 8) + (17v2 + 10 + v3)

14) (20n + 11n4) - (15n + 16n2 - 17n4)

15) (10k4 + 17k3) - (14k3 - 2k + 9k4)

16) (9r + 6r4) + (12r - 2r4 - 17)

17) (6r + 2 + 8r3) - (5r3 - 11 - 8r5) - (6r + 9r5)

18) (9a4 + 1 - 11a2) - (a + 8a2 + 2) - (6a2 - 9)

19) (9k - 9 - 12k4) - (4k + k4 + 4) - (10 + 7k)

20) (8x4 - 12 + 3x) - (9x4 + 7 - 11x) + (9x + 8)

21) (7r2 + r3 - 3) + (6r3 - 3r2 + 10) + (2 + r2)

22) (10x + 8x5 - 2) + (12 + x - 6x4) - (x4 - x2)

23) ( p4 + 8 p + 6) + (7 p - 3 p4 + 6) - (10 + 10 p)

24) (9n5 + 2n - 11) - (11n - 7n5 + 3) - (5 + 7n)

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Pre-Algebra

Adding and Subtracting Polynomials

Simplify each expression.

1) (5 + 5n3) - (1 - 3n3)

8n3 + 4

Name___________________________________ Date________________ Period____

2) (6a - 3a2) + (2a2 - 3a)

-a2 + 3a

3) (x2 - x) + (8x - 2x2)

-x2 + 7x

4) (2a2 + 4a3) - (3a3 + 8)

a3 + 2a2 - 8

5) (5x2 + 4) - (5 + 5x3)

-5x3 + 5x2 - 1

6) (8n2 - 2n3) + (6n3 - 8n2)

4n3

7) (8b3 + 8) - (6 - 7b3)

15b3 + 2

9) (10 p4 + 11) - (11 p4 + 13 + 16 p2)

- p4 - 16 p2 - 2

8) (4x3 - 6) + (5x3 + 3)

9x3 - 3

10) (20v2 - 9v3) - (7v3 - 10v4 - 14v2)

10v4 - 16v3 + 34v2

11) (10x4 - 16) + (12 - 6x3 + 11x4)

21x4 - 6x3 - 4

12) (14 + 12a3) + (17a4 + 15 - 5a3)

17a4 + 7a3 + 29

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Worksheet by Kuta Software LLC

13) (17v2 - 8) + (17v2 + 10 + v3)

v3 + 34v2 + 2

15) (10k4 + 17k3) - (14k3 - 2k + 9k4)

k4 + 3k3 + 2k

14) (20n + 11n4) - (15n + 16n2 - 17n4)

28n4 - 16n2 + 5n

16) (9r + 6r4) + (12r - 2r4 - 17)

4r4 + 21r - 17

17) (6r + 2 + 8r3) - (5r3 - 11 - 8r5) - (6r + 9r5)

-r5 + 3r3 + 13

18) (9a4 + 1 - 11a2) - (a + 8a2 + 2) - (6a2 - 9)

9a4 - 25a2 - a + 8

19) (9k - 9 - 12k4) - (4k + k4 + 4) - (10 + 7k)

-13k4 - 2k - 23

20) (8x4 - 12 + 3x) - (9x4 + 7 - 11x) + (9x + 8)

-x4 + 23x - 11

21) (7r2 + r3 - 3) + (6r3 - 3r2 + 10) + (2 + r2)

7r3 + 5r2 + 9

22) (10x + 8x5 - 2) + (12 + x - 6x4) - (x4 - x2)

8x5 - 7x4 + x2 + 11x + 10

23) ( p4 + 8 p + 6) + (7 p - 3 p4 + 6) - (10 + 10 p)

-2 p4 + 5 p + 2

24) (9n5 + 2n - 11) - (11n - 7n5 + 3) - (5 + 7n)

16n5 - 16n - 19

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Worksheet by Kuta Software LLC

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