Question

Select the correct answer from each drop-down menu.

Consider this expression.
(x + 9) (x - 2) - 9x - 6
What expression is equivalent to the given expression?
(x+
Y )(x-

Answer 1

The expression is equivalent to the given expression is (x + 4)(x - 6)

Algebraic expression

Given the expression below

(x + 9) (x - 2) - 9x - 6

Expanding the expression, we will have:

(x + 9) (x - 2) - 9x - 6 = x² - 2x + 9x - 18 - 9x - 6

(x + 9) (x - 2) - 9x - 6 = x² - 2x -24

Factorize to have:

x² - 2x -24 = x² - 6x +4x -24

x² - 2x -24 = x(x - 6) + 4(x - 6)

x² - 2x -24 = (x + 4)(x - 6)

Hence the expression is equivalent to the given expression is (x + 4)(x - 6)