Worksheet on Multiplying Binomials
Practice the questions given in the worksheet on multiplying binomials (a binomial by a binomial). The questions are based on multiplication of two binomials.
1. Multiply a binomial by a binomial:
(i) (a + 2) and (a + 10)
(ii) (m + 5) and (m – 3)
(iii) (a – 5) and (a + 1)
(iv)(m - 7) and (4 - m)
(v) (x - 7) and (1 + x)
(vi) (k - 8) and (k - 8)
(vii) (m + 9) and (m - 2)
(viii) (2x + 3y) and (2x - y)
(ix) (x - y) and (2x +6y)
(x) (z + x) and (x + z)
2. Find the product of
the binomials:
(i) (p + 1) × (p + 1)
(ii) (x - 1) × (x + 1)
(iii) (m + n) × (m - n)
(iv) (x2 + 2) × (x - 1)(v) (z2 + 1) × (z2 - 1)
(vi) (1 – x3) × (x2 + 2)
(vii) (2m + 3n) × (m + 5n)
(viii) (x + y) × (x – 2y)
(ix) (2t + 5) × (7 - t)
(x) (p + r) × (2r – 7p)
3. Multiply the following binomials:
(i) (ax - by) (ax + by)
(ii) (x + 9) by (y + 2)
(iii) (10 - ab) by (ab + 2)
(iv) (ab + 1) by (ab + 10)
(v) (xy + yz) by (xy - yz)
(vi) (1 – 2y) by (5 - 3y)
Answers for the worksheet on multiplying binomials are given below to check the exact answers of the above multiplication.
Answers:
(ii) m2 + 2m - 15
(iii) a2 - 4a - 5
(iv) -m2 + 11m - 28
(v) x2 - 6x - 7
(vi) k2 - 16k + 64
(vii) m2 + 7m - 18
(viii) 4x2 + 4xy - 3y2
(ix) 2x2 + 4xy - 6y2
(x) x2 + 2xz + z2
2. (i) p2 + 2p + 1
(ii) x2 - 1
(iii) m2 - n2
(iv) x3 - x2 + 2x - 2
(v) z4 - 1
(vi) -x5 - 2x3 + x2 + 2
(vii) 2m2 + 13mn + 15n2
(viii) x2 – xy - 2y2
(ix) -2t2 + 9t + 35
(x) -7p2 - 5pr + 2r2
3. (i) a2x2 - b2y2
(ii) xy + 2x + 9y + 18
(iii) -a2b2 + 8ab + 20
(iv) a2b2 + 11ab + 10
(v) x2y2 - y2z2
(vi) 6y2 - 13y + 5
● Terms of an Algebraic Expression - Worksheet
Worksheet on Types of Algebraic Expressions
Worksheet on Degree of a Polynomial
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Worksheet on Subtraction of Polynomials
Worksheet on Addition and Subtraction of Polynomials
Worksheet on Adding and Subtracting Polynomials
Worksheet on Multiplying Monomials
Worksheet on Multiplying Monomial and Binomial
Worksheet on Multiplying Monomial and Polynomial
Worksheet on Multiplying Binomials
Worksheet on Dividing Monomials
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