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

1 Answer
May 2, 2018

(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)