Question

What is the factorization of496^4-9

Answer 1

The given expression is

`496^4-9`

To factorize this, we find the square root of each term.

`\begin{gathered} \sqrt[]{496^4}=496^2 \\ \sqrt[]{9}=3 \end{gathered}`

Then, we use the difference of perfect square which states

`a^2-b^2=(a+b)(a-b)`

So, we have

`496^4-9=(496^2+3)(496^2-3)`