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) 8ab^{2} from 15ab^{2}(iii) -4pq from -23pq
2. Arrange and subtract the binomials:
(i) 4a – 3b from 7a – 2b
(ii) 2ab^{3} + 3b from 7ab^{3} + 8b3. Arrange and subtract
the trinomials:
(i) -8a – 12b + 17c from a – b – c
(ii) 1 + 4m + 9m^{2} from 4 – m – 5m^{2}(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) p^{2}q – q + p from 5p^{2}q – 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) 4p^{2} – 3q^{2} + 5q – 2 from 6p^{2} – 3pq + 7q^{2} + 4p - 2(iv) 5x – 3y + 2z from x – 4y – 2z
(v) 4p – 6q + 3r from 12p + 7q – 21r
Answers for the worksheet on subtraction of polynomials are given below to check the exact answers of the above subtraction.
Answers:
(iii) -19pq
2. (i) 3a + b
(ii) 5ab^{3} + 5b3. (i) 9a + 11b - 18c
(ii) 3 – 5m – 14m^{2}(iii) -2p – 10q + 12r
4. (i) -x – 2y – 3z
(ii) 10m – 4mn - 14
(iii) 2ab – 9bc + 5ca + 11abc
(iv) 4p^{2}q – 5p + 8q(v) -pq – 3rs + 3pr + 3qs
(vi) 6x – 3y - 2z – 5
(iv) -4x – y – 4z
(v) 8p + 13q – 24r
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Worksheet on Subtraction of Polynomials
Worksheet on Addition and Subtraction of Polynomials
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