Question

Which model represents the factors of 4x2 – 9?

Answer 1

this is in the form of (a+b)×(a-b)

Answer 2

Answer:

Difference of Squares model

Step-by-step explanation:

The given expression is

$4x^2-9$

Convert each term to perfect squares,

$4x^2=(2x)^2\\9=3^2$

Thus, we have

$(2x)^2-3^2$

This is in the form of $a^2-b^2$

This model is known as "Difference of Squares" model

The formula for Difference of Squares is $a^2-b^2=(a+b)(a-b)$

Using this formula, the factors are

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

Hence, the model is  "Difference of Squares" model