Question

Which model represents the factors of 4x2 – 9?

Answer 1

Answer: Difference of squares model is used.

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 )