Question

How do you factor the expression `81x^(4/5) - 256`?

Answer 1

`(9x^(2/5)-16)*(9x^(2/5)+16)`

Explanation:

Difference Between Two Squared Numbers

`(sqrt(81x^(4/5))-sqrt(256))*(sqrt(81x^(4/5))+sqrt(256))`

`color(green)(sqrt(81x^(4/5))=9x^(2/5)`

`color(green)(sqrt(256)=16`

`(9x^(2/5)-16)*(9x^(2/5)+16)`