What is the expression in factored form? Please explain how you found this factored form.

Question

4x^2 - 9

Answer 1

The expression 4x^2 - 9 can be factored using the difference of squares formula.

The difference of squares formula states that a^2 - b^2 can be factored as (a + b)(a - b).

In the given expression, 4x^2 - 9, we can see that 4x^2 is the square of (2x) and 9 is the square of (3). Therefore, we can write the expression as:

(2x + 3)(2x - 3)

This is the factored form of 4x^2 - 9.