Question

What is the expression in factored form? 9x^2-4 show all work

Answer 1

Answer:

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

Step-by-step explanation:

we know that

A binomial is a Difference of Squares if both terms are perfect squares

we have

$9x^{2} -4$

so

$9x^{2}=(3x)^{2}$ ---> is a perfect square

$4=(2)^2$ ----> is a perfect square

Both terms are perfect squares

The difference of squares is

$9x^{2} -4=(3x+2)(3x-2)$ ----> by difference of squares