((3)/(3k+5)) * ((24k+40)/(k))
You asked:
Evaluate the expression: \(\frac{3}{3 k + 5} \cdot \frac{24 k + 40}{k}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{3}{3 k + 5} \cdot \frac{24 k + 40}{k} = \frac{3 \cdot \left(24 k + 40\right)}{k \left(3 k + 5\right)} \)
Expanded
\[\frac{3}{3 k + 5} \cdot \frac{24 k + 40}{k} = \frac{72 k}{3 k^{2} + 5 k} + \frac{120}{3 k^{2} + 5 k}\]
Factored
\[\frac{3}{3 k + 5} \cdot \frac{24 k + 40}{k} = \frac{24}{k}\]