Question

How do you factor the polynomial expression 16y4-625x4

Answer 1

We have the following:

`16y^4-625x^4​`

factoring:

`\begin{gathered} (4y^2)^2-(25x^2)^2=\mleft(4y^2+25x^2\mright)\mleft(4y^2-25x^2\mright)=(4y^2+25x^2)\mleft(2y+5x\mright)\mleft(2y-5x\mright) \\ \end{gathered}`

Therefore, the answer is:

`\mleft(4y^2+25x^2\mright)\mleft(2y+5x\mright)\mleft(2y-5x\mright)`