Question

(4(y+2)^(1/2)-2y(y+2)^(-1/2))/(y+2)

simplify

Answer 1

This is what you're working with, right? \[\frac{4(y+2)^{1/2}-2y(y+2)^{-1/2}}{y+2}\]

Answer 2

split the problem

\[\frac{4(y + 2)^{\frac{1}{2}}}{(y + 2)^1}\]


and

\[-\frac{ 2y(y + 2)^{-\frac{1}{2}}}{(y + 2)^1}\]
just subtract the powers

Answer 3

oops since you have terms in (y +2) just subtract the powers

Answer 4

OK, yeah, that'll work. Carry on.

Answer 5

what do you mean by "just subtract the powers"?

Answer 6

when dividing you can subtract powers for the same base

a^3/a^4 = a^1