For this problem, we are given a polynomial, and we need to factor it.
The polynomial is given below:
[tex]64-324x^4[/tex]
We can use the difference between two squares to factor this polynomial. The base form of this notable product is shown below:
[tex]\begin{gathered} (a-b)(a+b)=a^2-b^2\\ \\ \end{gathered}[/tex]
We can do the same with the original polynomial:
[tex]64-324x^4=8^2-(18x^2)^2=(8-18x^2)(8+18x^2)[/tex]
The answer is (8-18x²)(8+18x²).
