Answer:
The two factors will be [tex]=(3+4x^2)\ and\ (3-4x^2)[/tex]
Step-by-step explanation:
We have given the equation [tex]9-16x^4[/tex]
We know the algebraic equation [tex]a^2-b^2=(a+b)(a-b)[/tex]
As [tex]9-16x^4[/tex] can be written as [tex]3^2-(4x^2)^2[/tex], as square of 3 is 9 and square of [tex]4x^2[/tex] is [tex]16x^4[/tex]
So [tex]9-16x^4=3^2-(4x^2)^=(3+4x^2)(3-4x^2)[/tex]
So the two factors will be [tex]=(3+4x^2)\ and\ (3-4x^2)[/tex]
