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.

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 Subtraction of Polynomials

Worksheet on Addition and Subtraction of Polynomials

Worksheet on Adding and Subtracting Polynomials

Worksheet on Multiplying Monomial and Polynomial

Worksheet on Multiplying Binomials

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

Recent Articles

1. Thousandths Place in Decimals | Decimal Place Value | Decimal Numbers

Jul 20, 24 03:45 PM

When we write a decimal number with three places, we are representing the thousandths place. Each part in the given figure represents one-thousandth of the whole. It is written as 1/1000. In the decim…

2. Hundredths Place in Decimals | Decimal Place Value | Decimal Number

Jul 20, 24 02:30 PM

When we write a decimal number with two places, we are representing the hundredths place. Let us take plane sheet which represents one whole. Now, we divide the sheet into 100 equal parts. Each part r…

3. Tenths Place in Decimals | Decimal Place Value | Decimal Numbers

Jul 20, 24 12:03 PM

The first place after the decimal point is tenths place which represents how many tenths are there in a number. Let us take a plane sheet which represents one whole. Now, divide the sheet into ten equ…

4. Representing Decimals on Number Line | Concept on Formation of Decimal

Jul 20, 24 10:38 AM

Representing decimals on number line shows the intervals between two integers which will help us to increase the basic concept on formation of decimal numbers.

5. Decimal Place Value Chart |Tenths Place |Hundredths Place |Thousandths

Jul 20, 24 01:11 AM

Decimal place value chart are discussed here: The first place after the decimal is got by dividing the number by 10; it is called the tenths place.

Types of Algebraic Expressions

Degree of a Polynomial