Question

Which model represents the factors of 4x2 – 9?

Answer 1

Answer: Difference of squares model is used.

Step-by-step explanation:

Since we have given that

$4x^2-9$

We need to find the model which represents the factors of the above quadratic equation:

As we know that " $a^2-b^2=(a+b)(a-b)$"

So, our quadratic equation will become,

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

Hence, we will use "Difference of squares model "

Factors will be (2x-3) and (2x+3) .

Answer 2

The factors of 4 x² - 9 :
4 x² - 9 = ( 2 x - 3 ) · ( 2 x + 3 )
We have to use the formula for the difference of squares:
a² - b² = ( a - b ) · ( a + b )