Question

Write 9− 16x⁴ as the product of two factors.

Answer 1

Answer:

The two factors will be $=(3+4x^2)\ and\ (3-4x^2)$        

Step-by-step explanation:

We have given the equation $9-16x^4$

We know the algebraic equation $a^2-b^2=(a+b)(a-b)$

As  $9-16x^4$ can be written as $3^2-(4x^2)^2$, as square of 3 is 9 and square of $4x^2$ is $16x^4$

So $9-16x^4=3^2-(4x^2)^=(3+4x^2)(3-4x^2)$

So the two factors will be $=(3+4x^2)\ and\ (3-4x^2)$