Respuesta :
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 )
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 )
Answer: Difference of squares model is used.
Step-by-step explanation:
Since we have given that
[tex]4x^2-9[/tex]
We need to find the model which represents the factors of the above quadratic equation:
As we know that " [tex]a^2-b^2=(a+b)(a-b)[/tex]"
So, our quadratic equation will become,
[tex]4x^2-9\\\\=(2x)^2-3^2\\\\=(2x+3)(2-3)[/tex]
Hence, we will use "Difference of squares model "
Factors will be (2x-3) and (2x+3) .