Factor the expression 9×2 - 1.

Step 1: Recognize the expression as a difference of squares. The expression 9x² − 1 can be written in the form a² − b². Step 2: Identify a and b. 9x² = (3x)²; 1 = 1²; So, a = 3x and b = 1. Step 3: Apply the difference of squares formula, a² − b² = (a − b)(a + b). Substitute a = 3x and b = 1 into the formula: (3x)² − 1² = (3x − 1)(3x + 1) The factored expression is: (3x − 1)(3x + 1)

Factor the expression 9×2 - 1.

Step 1: Recognize the expression as a difference of squares. The expression 9x² − 1 can be written in the form a² − b². Step 2: Identify a and b. 9x² = (3x)²; 1 = 1²; So, a = 3x and b = 1. Step 3: Apply the difference of squares formula, a² − b² = (a − b)(a + b). Substitute a = 3x and b = 1 into the formula: (3x)² − 1² = (3x − 1)(3x + 1) The factored expression is: (3x − 1)(3x + 1)

We read your photo as:

Factor the expression 9x2 - 1.

April 27, 2026Mathematics

ScanSolve AI Answer

Answer

(3x - 1)(3x + 1)

Step-by-step solution

3 steps

Recognize the expression as a difference of squares.
The expression $9x^2 - 1$ can be written in the form $a^2 - b^2$ .
Identify $a$ and $b$ .
$9x^2 = (3x)^2$ $1 = 1^2$
So, $a = 3x$ and $b = 1$ .
Apply the difference of squares formula, $a^2 - b^2 = (a - b)(a + b)$ .
Substitute $a = 3x$ and $b = 1$ into the formula:
$(3x)^2 - 1^2 = (3x - 1)(3x + 1)$
The factored expression is:
$(3x - 1)(3x + 1)$