Mathematics
8 Online
OpenStudy (anonymous):
Add simplify your answer.
3x+8 4
________ + _________
x^2-16 x^2-16
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OpenStudy (saifoo.khan):
\[\frac{3x+8 + 4}{x^2 - 16} \to \frac{3x+12}{x^2 - 16}\to \frac{3(x+4)}{(x-4)(x+4)} \to solve.\]
OpenStudy (anonymous):
I don't understand your answer saifoo.khan, sorry.
OpenStudy (saifoo.khan):
No worries!
Where are you stuck?
OpenStudy (anonymous):
How did you combine the two?
OpenStudy (anonymous):
Did you just bring over the 4?
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OpenStudy (saifoo.khan):
same as,
1/2 + 3/2
We look for common denominators.
(1+3)/2
4/2
OpenStudy (saifoo.khan):
which 4?
OpenStudy (anonymous):
3x+8 4 <--- this 4
________ + _________
x^2-16 x^2-16
OpenStudy (saifoo.khan):
that's in the question, isn't it?
OpenStudy (anonymous):
Yes, I think I understand this now. Let me re look it.
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OpenStudy (saifoo.khan):
Sure.
dont forget to hit good answer.
OpenStudy (anonymous):
Wait hold one, where did the 12 and 16 go?
OpenStudy (anonymous):
on* not one
OpenStudy (saifoo.khan):
3x+12 can be written as,
3(x+4)
-taking 3 common
and
x^2-16 can be written as
(x-4)(x+4)
OpenStudy (anonymous):
Oh ok. Thank you, you helped me a lot. :D
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OpenStudy (saifoo.khan):
welcome. :D