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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) x2 + 7x + 10
(ii) a2 – 11a + 28
(iii) x2 – 7x - 8
(iv) a2 - a - 6
(v) 9x2 + 9x + 2
(vi) 16x2 + 4xy – 2y2
2. (i) x2 + 2xy + y2 + 5x + 5y + 6
(ii) 4x2 – 4xy + y2 + 2x – y - 12
(iii) x2 + 3xy + 2y2 – 2x – 3y + 1
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