The expression given is,
[tex]25x^2-64y^2[/tex]Factorize
[tex]\begin{gathered} \mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right) \\ \left(5x\right)^2-\left(8y\right)^2=\left(5x+8y\right)\left(5x-8y\right) \\ =\left(5x+8y\right)\left(5x-8y\right) \end{gathered}[/tex]Hence, Option C is the correct answer.
