Pl do not use excell as answer Factor and simplify into one

Pl do not use excell as answer

Factor and simplify into one algebraic expression”

-1/3 and -4/3 is a power

6x(8- x^2 ) -1/3 +3 x^2 (-1/3 ) (8- x^2 )-4/3(-2x)

Solution

6x(8-x²)^-1/3 +3 (x²)^-1/3(8-x²)^-4/3(-2x)

= 6x(8-x²)^-1/3[1- x^-2/3(8-x²)^-1]

= 6x(8-x²)^-1/3[8-x²-x^-2/3]/(8-x²)

= 6x(8-x²)^-4/3(8-x²-x^-2/3)