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OpenStudy (anonymous):
Simplify the complex fraction:
(Problem in comments...)
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OpenStudy (anonymous):
\[\frac{ \frac{ \frac{ 2 }{ x-5 } }{ x+1 } }{ x^2-25 }\]
OpenStudy (anonymous):
\[\frac{ 2 (x-5) }{ x-5 (x-5) }\] right?
OpenStudy (anonymous):
\[\frac{ x+1 }{ (x+5)(x-5) }\]
ganeshie8 (ganeshie8):
\(\huge \frac{ \frac{ \frac{ 2 }{ x-5 } }{ x+1 } }{ x^2-25 } \)
ganeshie8 (ganeshie8):
flip the denominator and change it to a multiplicaiton
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ganeshie8 (ganeshie8):
\(\huge \frac{ \frac{ \frac{ 2 }{ x-5 } }{ x+1 } }{ x^2-25 } \)
is same as :
\(\huge \frac{ 2 }{ x-5 } \times \frac{x^2-25}{x+1} \)
ganeshie8 (ganeshie8):
factor the numerator x^2-25 now
OpenStudy (anonymous):
(x+5)(x-5)
ganeshie8 (ganeshie8):
yes !
ganeshie8 (ganeshie8):
\(\huge \frac{ 2 }{ x-5 } \times \frac{x^2-25}{x+1} \)
\(\huge \frac{ 2 }{ x-5 } \times \frac{(x+5)(x-5)}{x+1} \)
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ganeshie8 (ganeshie8):
cancel out (x-5) on both top and bottom
ganeshie8 (ganeshie8):
what do u get ?
OpenStudy (anonymous):
2*x+5/x+1
ganeshie8 (ganeshie8):
\(\huge \frac{ 2 }{ x-5 } \times \frac{(x+5)(x-5)}{x+1} \)
canceling (x-5) gives
\(\huge \dfrac{2(x+5)}{x+1}\)
ganeshie8 (ganeshie8):
we're done.
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OpenStudy (anonymous):
Yaaaaaay! lol I'm sleepy now lol Thank you, goodnight.
ganeshie8 (ganeshie8):
you deserve good sleep girly :) good night !!
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