Question

What identity can be used to rewrite the expression 4ײ -9 ?

Answer 1

A. Difference of Squares

Explanation:

Given the expression:

`4x^2-9`

To rewrite the expression:

• Write 4 as the square of 2.

,

• Write 9 as the square of 3.

`\begin{gathered} =2^2x^2-3^2 \\ =(2x)^2-3^2 \end{gathered}`

Thus, the given expression has been written as a difference of two squares.

The identity that can be used to rewrite the expression is the difference of squares.

`\begin{gathered} x^2-y^2=(x-y)(x+y) \\ \implies(2x)^2-3^2=(2x+3)(2x-3) \end{gathered}`

Option A is correct.