Question

(x+h) squared - x squared divided by h

Answer 1

\[\frac{(x+h)^2-x^2}{h}\]

Answer 2

what is th question

Answer 3

What would you like to do with this?
Simplify?

Answer 4

yes, i known i would have to multiple the x+h by itself but then i am not sure what to do with the inside terms once i do that

Answer 5

\[(x+h)^2=?\]

Answer 6

So after you do what you just said what does that expand to?

Answer 7

use this formula (a+b)^2 = a^2 + 2ab + b^2
here a=x and b=h

Answer 8

yes right now i have x^2 + 2xh + h^2 -x^2 divided by h

Answer 9

and i think i would cancel the x^2 and -x^2

Answer 10

yes exactly

Answer 11

but when i get to 2xh+h^2 divied by h can i cancel the h in the 2xh with the other h's or can i not do that because it is a term with x? if that makes sense

Answer 12

You have h in the denominator

Answer 13

You can factor out h on top
And assuming h does not equal 0
You can do what after that?

Answer 14

you can cancel it out with the h in the dennomenator

Answer 15

so would the final answer im left with be 2x + h ?

Answer 16

yap

Answer 17

Yes! :)

Answer 18

oh alright, thank you both!