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Which model represents the factors of 4x^2-9

Sagot :

The model (x+a)(x-a) will represents the factors of 4x²-9 as (2x+3)(2x-3).

What are the quadratic equations in one variable completing the squares method?

The "completing the squares" method aims to construct a quadratic equation of the form where the x variable is entirely covered by a single squared term, which is the square of a linear expression in x, as the name suggests.

The quadratic equation can resemble this:

x²-a² = (x+a)(x-a)

Given equation;

⇒4x²-9

⇒(2x)²-3²

The equation can be modeled as;

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

Hence the model (x+a)(x-b) will represents the factors of 4x²-9 as (2x+3)(2x-3).

To learn more about completing the squares method refer to:

https://brainly.com/question/16800259

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