Q2 of 59 Page 23

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

Using identity,


(x + a)(x + b)(x + c) = x3 + (a + b + c)x2 + (ab + bc + ca)x + abc


We have,


(x + 1)(x – 2)(x + 3) = x3 + (1 – 2 + 3)x2 + (– 2 – 6 + 3)x – 6


= x3 + 2x2 – 5x – 6

More from this chapter

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5

Solve the following inequations.

(i) 2x + 7>15


(ii) 2(x – 2) < 3


(iii) 2(x + 7) ≤ 9


(iv) 3x + 14 ≥ 8

 1

The expansion of (x + 2)(x – 1) is

 3

(x – y)(x2 + xy + y2) is equal to

 4

Factorization of x2 + 2x – 8 is