Ask your own question, for FREE!
Mathematics 18 Online
OpenStudy (anonymous):

Simplify the complex fraction: (Problem in comments...)

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

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):

\(\huge \frac{ 2 }{ x-5 } \times \frac{x^2-25}{x+1} \) \(\huge \frac{ 2 }{ x-5 } \times \frac{(x+5)(x-5)}{x+1} \)

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.

OpenStudy (anonymous):

Yaaaaaay! lol I'm sleepy now lol Thank you, goodnight.

ganeshie8 (ganeshie8):

you deserve good sleep girly :) good night !!

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!