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1. Algebra
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Q1 of 59 Page 23

The expansion of (x + 2)(x – 1) is

Using identity,


(x + a)(x + b) = x2 + (a + b)x + ab


We have,


(x + 2)(x – 1)


= x2 + (2 – 1) x + (2x – 1) = x2 + x – 2

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4

Kavi and Kural each had a number of apples. Kavi said to Kural “If you give me 4 of your apples, my number will be thrice yours”. Kural replied, “If you give me 26, my number will be twice yours”. How many did each have with them?.

5

Solve the following inequations.

(i) 2x + 7>15


(ii) 2(x – 2) < 3


(iii) 2(x + 7) ≤ 9


(iv) 3x + 14 ≥ 8

2

The expansion of (x + 1)(x – 2)(x + 3) is

3

(x – y)(x2 + xy + y2) is equal to

Questions · 59
1. Algebra
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