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

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