Question

1. directions drag and drop the correct answer choice to each answer blank. choose two factors to create an expression equivalent to (4x^{2}-81). move the correct answer to each box. each answer may be used more than once. not all answers will be used. (4x^{2}-81 = (quad)(quad)) the options are (9x - 2), (2x - 9), (4x - 9), (9x + 2), (2x + 9), (4x + 9)

Explanation:

Step1: Recognize difference of squares

The expression $4x^2 - 81$ is a difference of squares, where $4x^2=(2x)^2$ and $81=9^2$. The formula for factoring a difference of squares is $a^2 - b^2=(a-b)(a+b)$.

Step2: Apply the factoring formula

Substitute $a=2x$ and $b=9$ into the formula:
$4x^2 - 81=(2x - 9)(2x + 9)$

Answer:

$4x^2 - 81=\boldsymbol{(2x - 9)(2x + 9)}$