# Write the rational expression in lowest terms

• November 28th 2008, 08:39 PM
Panama
Write the rational expression in lowest terms
4t(t+5)
______
24t^2(t-5)
• November 28th 2008, 09:05 PM
great_math
Quote:

Originally Posted by Panama
4t(t+5)
______
24t^2(t-5)

$=\frac{ {4t}(t+5)}{24t^2(t-5)}$

$
=\frac{\bold{\rlap{\color{red}=}}4t (t+5)}{\bold{\rlap{\color{red}==}}24t \cdot t(t-5)}$

$=\frac{t+5}{6t(t-5)}$

$=\frac{t+5}{6t^2-30t}$
• November 28th 2008, 09:10 PM
Panama
Thank you!!