(((4a^2)+6a)/4a)*((8)/2a+3)
You asked:
Evaluate the expression: \(\frac{4 {a}^{2} + 6 a}{4 a} \cdot \left(\frac{8}{2 a} + 3\right)\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{4 {a}^{2} + 6 a}{4 a} \cdot \left(\frac{8}{2 a} + 3\right) = \frac{\left(3 + \frac{4}{a}\right) \left(4 a^{2} + 6 a\right)}{4 a} \)
Expanded
\[\frac{4 {a}^{2} + 6 a}{4 a} \cdot \left(\frac{8}{2 a} + 3\right) = 3 a + \frac{17}{2} + \frac{6}{a}\]
Factored
\[\frac{4 {a}^{2} + 6 a}{4 a} \cdot \left(\frac{8}{2 a} + 3\right) = \frac{\left(2 a + 3\right) \left(3 a + 4\right)}{2 a}\]