5y^8 - 125

*you have to factor completley

5y^8 - 125 =

5(y^8 - 25) =

5(y^4 + 5)(y^4 - 5)=

5(y^4 + 5)[y^2 + sqrt(5)][y^2 - sqrt(5)]=
5(y^4 + 5)[y^2 + sqrt(5)]*
[y + 5^(1/4)][y - 5^(1/4)]

good work, good explaination

Thank you for your feedback! I'm glad the explanation was helpful. Factoring completely can sometimes be a bit tricky, but breaking down the process step by step can make it easier to understand. If you have any more questions or need further explanations, feel free to ask!