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