Worksheet on Multiplying Monomial and Binomial
Practice the questions given in the worksheet on multiplying monomial and binomial. The questions are based on multiplication of a binomial by a monomial and multiplication of a monomial by a binomial.
1. Multiply a binomial by a monomial:
(i) (x + y) by xy
(ii) (4xy – 3x) by 2xy
(iii) (5ab + 2b) by 2ab
(iv) (2x + 6y) by 5xy
(v) (2xy + 5xz) by xyz
(vi) (-3xy2 + 5x2y) by 2xy(vii) (-a – b) by (-ab)
(viii) (-x2y - 3x2y2) by 2x2y
(ix) (-3ab2 + 4a2b) by (-ab)
(x) (2abc + 3ac) by (-2a2b)
2. Multiply a monomial by a binomial:
(i) 4xy × (2xy + 3)
(ii) (-2xy) × (x + y2)(iii) 2x2y3 × (x + y)
(iv) abc × (a2b2 + b2c2)
(v) (-5acb) × (a + b)
(vi) 10abc2 × (b + c)
(vii) 8xyz × (xyz – 2x2y2z2)
(viii) (-10mn2) × (5m – 3n)
(ix) p2 × (7pq – 8r)
(x) (1/6)a × (3a + 4ab)
3. Find the product of:
(i) a(1 + a2)(ii) (-x2) (1 – x)
(iii) 2m2(5m + 3n)
(iv) a2b(a2 + b2c)
(v) (-12xyz) (3xy + 4yz)
(vi) (-3pq) (p – q)
Answers for the worksheet on multiplying monomial and binomial are given below to check the exact answers of the above multiplication.
Answers:
(ii) 8x2y2 – 6x2y
(iii) 10a2b2 + 4ab2
(iv) 10x2y + 30xy2
(v) 2x2y2z + 5x2yz2
(vi) -6x2y3 + 10x3y2
(vii) a2b + ab2
(viii) -2x4y2 – 6x4y3
(ix) 3a2b3 – 4a3b2
(x) -4a3b2c – 6a3bc
2. (i) 8x2y2 + 12xy
(ii) -2x2y – 2xy3
(iii) 2x3y3 + 2x2y4
(iv) a3b3c + ab3c3
(v) -5a2bc - 5ab2c
(vi) 10ab2c2 + 10abc3
(vii) 8x2y2z2 – 16x3y3z3
(viii) -50m2n2 + 30mn3
(ix) 7p3q – 8p2r
(x) (1/2)a2 + (2/3)a2b
3. (i) a + a3
(ii) -x2 + x3
(iii) 10m3 + 6m2n
(iv) a4b + a2b3c
(v) -36x2y2z – 48xy2z2
(vi) -3p2q + 3pq2
● Terms of an Algebraic Expression - Worksheet
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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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● Terms of an Algebraic Expression
Types of Algebraic Expressions
Multiplication of Two Monomials
Multiplication of Polynomial by Monomial