Use x^2+2 in the Difference Quotient

[Tonik]

I took a placement test and blew it away. (I tested into calculus, best possible placement for this test.) Everything was rather simple except for this problem which I cannot seem to get right. Can someone show me where I'm going wrong here?

Homework Statement

Use x²+2 in the Difference Quotient.

Homework Equations

The Attempt at a Solution

(x+h)²+2-(x²+2)

x²+xh+h²+2-x²-2

[STRIKE]x²[/STRIKE]+xh+h²[STRIKE]+2[/STRIKE][STRIKE]-x²[/STRIKE][STRIKE]-2[/STRIKE]

(xh+h²)/h

(x[STRIKE]h[/STRIKE]+h^{[STRIKE]2[/STRIKE]})/[STRIKE]h[/STRIKE]

x+h

This answer was not a given choice. Any ideas where I'm messing up?
(I'm sure I making stupid mistake somewhere that I'm overlooking)

 

[pbandjay]

x²+xh+h²+2-x²-2

There is an error in this line.

 

[Mark44]

More specifically, you expanded (x + h)² incorrectly. Also, you should use = between an expression on one line and the one on the following line.

 

[Tonik]

There is an error in this line.

More specifically, you expanded (x + h)² incorrectly. Also, you should use = between an expression on one line and the one on the following line.

ahh! okay...

x²+2xh+h²+2-x²-2

=

[STRIKE]x²[/STRIKE]+2xh+h²[STRIKE]+2-x²-2[/STRIKE]

=

2xh+h²/h

=

2x[STRIKE]h[/STRIKE]+h^{[STRIKE]2[/STRIKE]}/[STRIKE]h[/STRIKE]

=

2x+h

That is the answer I chose since it was closest to my answer. You guys rock, thanks!