anonymous
  • anonymous
(x+h) squared - x squared divided by h
Mathematics
jamiebookeater
  • jamiebookeater
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myininaya
  • myininaya
\[\frac{(x+h)^2-x^2}{h}\]
anonymous
  • anonymous
what is th question
myininaya
  • myininaya
What would you like to do with this? Simplify?

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anonymous
  • anonymous
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
myininaya
  • myininaya
\[(x+h)^2=?\]
myininaya
  • myininaya
So after you do what you just said what does that expand to?
anonymous
  • anonymous
use this formula (a+b)^2 = a^2 + 2ab + b^2 here a=x and b=h
anonymous
  • anonymous
yes right now i have x^2 + 2xh + h^2 -x^2 divided by h
anonymous
  • anonymous
and i think i would cancel the x^2 and -x^2
anonymous
  • anonymous
yes exactly
anonymous
  • anonymous
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
myininaya
  • myininaya
You have h in the denominator
myininaya
  • myininaya
You can factor out h on top And assuming h does not equal 0 You can do what after that?
anonymous
  • anonymous
you can cancel it out with the h in the dennomenator
anonymous
  • anonymous
so would the final answer im left with be 2x + h ?
anonymous
  • anonymous
yap
myininaya
  • myininaya
Yes! :)
anonymous
  • anonymous
oh alright, thank you both!

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