Answer:
A. Difference of Squares
Explanation:
Given the expression:
[tex]4x^2-9[/tex]
To rewrite the expression:
• Write 4 as the square of 2.
,
• Write 9 as the square of 3.
[tex]\begin{gathered} =2^2x^2-3^2 \\ =(2x)^2-3^2 \end{gathered}[/tex]
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.
[tex]\begin{gathered} x^2-y^2=(x-y)(x+y) \\ \implies(2x)^2-3^2=(2x+3)(2x-3) \end{gathered}[/tex]
Option A is correct.
