Worksheet on Subtraction of Polynomials

Practice the questions given in the worksheet on subtraction of polynomials. The questions are based on arranging the expressions to find the difference of monomials, binomials, trinomials and polynomials. 

1. Arrange and subtract the monomials:    

(i) 8ab² from 15ab²

(ii) 9m²n from 7m²n

(iii) -4pq from -23pq

2. Arrange and subtract the binomials:    

(i) 4a – 3b from 7a – 2b

(ii) 2ab³ + 3b from 7ab³ + 8b

(iii) 2m – 9m²n from 5m + 11m²n

3. Arrange and subtract the trinomials: 

(i) -8a – 12b + 17c from a – b – c

(ii) 1 + 4m + 9m² from 4 – m – 5m²

(iii) 7p + 8q – 3r from 5p – 2q + 9r

4. Find the difference of:

(i) 2x – 3y – 4z from x – 5y – 7z

(ii) m – 3mn + 2n + 9 from 11m – 7mn + 2n - 5

(iii) 4ab + 6bc – 8ca from 6ab – 3bc – 3ca + 11abc

(iv) p²q – q + p from 5p²q – 4p + 7q

(v) 2pq + rs – pr – 2qs from pq – 2rs + 2pr + qs

(vi) 5 – x – 4y + 4z from 5x – 7y + 2z

5. Subtract the following expressions:

(i) 4p² – 3q² + 5q – 2 from 6p² – 3pq + 7q² + 4p - 2

(ii) 3ab – a² – 2b² from 3a² + 4b² + ab

(iii) 7p² – q² – 5pq from 2p² + 5q² + 3pq

(iv) 5x – 3y + 2z from x – 4y – 2z

(v) 4p – 6q + 3r from 12p + 7q – 21r

6. What must be added to 1 – 2x + 3x² to obtain 3 + 5x – 7x²?

7. What must be subtracted from -4m² + 5m – 3 to obtain m² – 3m?

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Answers for the worksheet on subtraction of polynomials are given below to check the exact answers of the above subtraction.

Answers:

1. (i) 7ab²

(ii) -2m²n

(iii) -19pq

2. (i) 3a + b

(ii) 5ab³ + 5b

(iii) 3m + 20m²n

3. (i) 9a + 11b - 18c

(ii) 3 – 5m – 14m²

(iii) -2p – 10q + 12r

4. (i) -x – 2y – 3z

(ii) 10m – 4mn - 14

(iii) 2ab – 9bc + 5ca + 11abc

(iv) 4p²q – 5p + 8q

(v) -pq – 3rs + 3pr + 3qs

(vi) 6x – 3y - 2z – 5

5. (i) 2p² – 3pq + 10q² + 4p – 5q

(ii) 4a² + 6b² - ab

(iii) -5p² + 6q² + 8pq

(iv) -4x – y – 4z

(v) 8p + 13q – 24r

6. 2 + 7x – 10x²

7. -5m² + 8m – 3

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