When factored completely, x 3 − 9 x is equivalent to —
A. x( x + 3)( x − 3).
B. x( x + 3).
C. ( x + 3)( x − 3).
D. x( x − 3).

is equivalent to the expression x(x + 3)(x – 3).

Solution:

Given expression:

To find the equivalent expression for the given expression.

Take the common term x outside.

9 can be written as 3 × 3 = 3²

Using the algebraic identity:

Hence is equivalent to the expression x(x + 3)(x – 3).

Option A is the correct answer.

the answer is d

step-by-step explanation: