Question

Simplify (x + 2)(x2 − 4x − 9).

x3 − 2x2 − 17x − 18
x3 − 6x2 − x − 18
x3 − 4x2 − 3x − 18
x3 − 10x2 − 9x − 18

Answer 1

x3 - 2x2 - 17x -18, would be your answer.

Answer 2

Option A x³ - 2x² - 17x - 18

Explanation:

We have to simplify the given expression

(x+2) (x² - 4x - 9)

x(x² - 4x - 9) + 2 (x²- 4x - 9) [distributive Law]

= x³ - 4x² - 9x + 2x² - 8x - 18

Now we accumulate similar terms together.

= x³ - 4x² + 2x² - 9x - 8x - 18

= x³ - 2x² - 17x - 18

This simplified form of the expression matches with option A.

Option A x³ - 2x² - 17x - 18