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:

1. (i) x²y + xy²

(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

Worksheet on Types of Algebraic Expressions

Worksheet on Degree of a Polynomial

Worksheet on Addition of Polynomials

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