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:


1. (i) a2 + 12a + 20

(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

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






6th Grade Math Practice

Math Home Work Sheets

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Terms of an Algebraic Expression

Types of Algebraic Expressions

Degree of a Polynomial

Addition of Polynomials

Subtraction of Polynomials

Power of Literal Quantities

Multiplication of Two Monomials

Multiplication of Polynomial by Monomial

Multiplication of two Binomials

Division of Monomials