Worksheet on Expansion of (x ± a)(x ± b)

Practice the questions given in the worksheet on expansion of (x ± a)(x ± b).

1. (i) Find the product using standard formula.

(i) (x + 2)(x + 5)

(ii) (a – 4)(a – 7)

(iii) (x + 1)(x – 8)

(iv) (a – 3)(a + 2)

(v) (3x + 1)(3x + 2)

(vi) (4x – y)(4x + 2y)

2. Find the product.

(i) (x + y + 3)(x + y + 2)

(ii) (2x – y + 4)(2x – y – 3)

(iii) (x + 2y – 1)(x + y – 1)

Answers for the Worksheet on Expansion of (x ± a)(x ± b) are given below.

Answer:

1. (i) x\(^{2}\) + 7x + 10

(ii) a\(^{2}\) – 11a + 28

(iii) x\(^{2}\) – 7x - 8

(iv) a\(^{2}\) - a - 6

(v) 9x\(^{2}\) + 9x + 2

(vi) 16x\(^{2}\) + 4xy – 2y\(^{2}\)

2. (i) x\(^{2}\) + 2xy + y\(^{2}\) + 5x + 5y + 6

(ii) 4x\(^{2}\) – 4xy + y\(^{2}\) + 2x – y - 12

(iii) x\(^{2}\) + 3xy + 2y\(^{2}\) – 2x – 3y + 1

9th Grade Math

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