Q. 25.0( 2 Votes )

# The expansion of A. x^{3} + 2x^{2} – 5x – 6

B. x^{3} – 2x^{2} + 5x – 6

C. x^{3} + 2x^{2} + 5x – 6

D. x^{3} + 2x^{2} + 5x + 6

Answer :

Using identity,

(x + a)(x + b)(x + c) = x^{3} + (a + b + c)x^{2} + (ab + bc + ca)x + abc

We have,

(x + 1)(x – 2)(x + 3) = x^{3} + (1 – 2 + 3)x^{2} + (– 2 – 6 + 3)x – 6

= x^{3} + 2x^{2} – 5x – 6

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