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Worksheets

Add and Subtract Polynomials

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.

Simplify.
 (3m4−6m2−4m)+(7m4−6m2−5m)\left(3m^4-6m^2-4m\right)+\left(7m^4-6m^2-5m\right)  

a)

 10m4−14m2−9m−610m^4-14m^2-9m-6  

b)

 10m4−12m2−9m−610m^4-12m^2-9m-6  

c)

 10m4−14m2−9m−810m^4-14m^2-9m-8  

d)

 10m4−12m2−9m10m^4-12m^2-9m  

2.

Simplify.
 (8+6k−5k2)−(8−7k4+3k)\left(8+6k-5k^2\right)-\left(8-7k^4+3k\right)  

a)

 6k4−10k2+3k6k^4-10k^2+3k  

b)

 6k4−5k2+3k6k^4-5k^2+3k  

c)

 6k4−10k26k^4-10k^2  

d)

 7k4−5k2+3k7k^4-5k^2+3k  

3.

Simplify.
 (6v4−7v+1)+(1−6v4−7v)\left(6v^4-7v+1\right)+\left(1-6v^4-7v\right)  

a)

 −14v+2-14v+2  

b)

 −9v+2-9v+2  

c)

 −9v+10+2v4-9v+10+2v^4  

d)

 −9v+10-9v+10  

4.

Simplify.
 (m2−m+3)−(2m−6−m2)\left(m^2-m+3\right)-\left(2m-6-m^2\right)  

a)

 −10m2−3m+9-10m^2-3m+9  

b)

 −5m2−3m+9-5m^2-3m+9  

c)

 −10m2−4m+9-10m^2-4m+9  

d)

 2m2−3m+92m^2-3m+9  

5.

Simplify.
 (6k2−7k4−6k)+(6k+5k4+7)\left(6k^2-7k^4-6k\right)+\left(6k+5k^4+7\right)  

a)

 −3k4+6k2+8-3k^4+6k^2+8  

b)

 −2k4+6k2+7-2k^4+6k^2+7  

c)

 −2k4+6k2+8-2k^4+6k^2+8  

d)

 k4+6k2+8k^4+6k^2+8  

6.

Simplify.
 (3a−1+a2)−(7a2−5a+7)\left(3a-1+a^2\right)-\left(7a^2-5a+7\right)  

a)

 −6a2+8a-6a^2+8a  

b)

 2a2+8a+72a^2+8a+7  

c)

 −6a2+8a+7-6a^2+8a+7  

d)

 −6a2+8a−8-6a^2+8a-8  

7.

Simplify.
 (3x3+x4+6x2)+(7x2+4x3−6x4)\left(3x^3+x^4+6x^2\right)+\left(7x^2+4x^3-6x^4\right)  

a)

 9x4+7x3+13x29x^4+7x^3+13x^2  

b)

 2x4+7x3+13x22x^4+7x^3+13x^2  

c)

 −5x4+7x3+13x2-5x^4+7x^3+13x^2  

d)

 9x4+9x3+13x29x^4+9x^3+13x^2  

8.

Simplify.
 (3n4+2+6n2)+(4n+n4+4)\left(3n^4+2+6n^2\right)+\left(4n+n^4+4\right)  

a)

 4n4+6n2+4n+64n^4+6n^2+4n+6  

b)

 n4+6n2+7n+1n^4+6n^2+7n+1  

c)

 n4+6n2+4n+6n^4+6n^2+4n+6  

d)

 n4+6n2+7n+6n^4+6n^2+7n+6  

9.

Simplify.
 (4+6x4+7x)−(6x−2x4+4)\left(4+6x^4+7x\right)-\left(6x-2x^4+4\right)  

a)

 8x4+x8x^4+x  

b)

 19x4+x−619x^4+x-6  

c)

 8x4+x−68x^4+x-6  

d)

 14x4+x−614x^4+x-6  

10.

Simplify.
 (3+6b−8b3)−(6b3−7b−7)\left(3+6b-8b^3\right)-\left(6b^3-7b-7\right)  

a)

 −17b3+13b+17-17b^3+13b+17  

b)

 −17b3+15b+17-17b^3+15b+17  

c)

 −14b3+13b+10-14b^3+13b+10  

d)

 −17b3+13b+10-17b^3+13b+10