The problem asks to factor the expression $9x^2 - 49$ using the difference of squares factorization.

AlgebraDifference of SquaresFactorizationAlgebraic Expressions
2025/3/25

1. Problem Description

The problem asks to factor the expression 9x2499x^2 - 49 using the difference of squares factorization.

2. Solution Steps

The expression 9x2499x^2 - 49 is a difference of two squares. We can rewrite it as (3x)2(7)2(3x)^2 - (7)^2. The difference of squares factorization is given by:
a2b2=(ab)(a+b)a^2 - b^2 = (a - b)(a + b)
In this case, a=3xa = 3x and b=7b = 7. Substituting these values into the formula, we get:
(3x)2(7)2=(3x7)(3x+7)(3x)^2 - (7)^2 = (3x - 7)(3x + 7)

3. Final Answer

(3x7)(3x+7)(3x - 7)(3x + 7)