Factor and simplify the algebraic expression?

Factor and simplify the algebraic expression
(x + 7)^(-1/3) - (x + 7) ^(-2/3)

Admire2013-07-03T10:40:01Z

Favorite Answer

(x + 7)^(-1/3) - [(x + 7)^(-1/3)]^2

(x + 7)^(-1/3) [1 - (x + 7)^(-1/3)]

(x + 7)^(-1/3) [1 - (1/(x+7)^(1/3))]

You could go further with the difference of two cube roots, but that's a lot of hassle.

faes2016-12-29T20:03:10Z

take out an (x+4)^(-one million/4) on the two aspects: = (x+4)^(-one million/4) (one million- (x+4)^(-4/4)) = (x+4)^(-one million/4) (one million- one million/(x+4)) = (x+4)^(-one million/4) ((x+3)/(x+4)) = (x+3)/(x+4)^(one million/4) * (x+4) which might purely be = (x+3)/(x+4)^(5/4)