(((4a^2)+6a)/4a)*((8)/(2a+3))
You asked:
Evaluate the expression: \(\frac{4 {a}^{2} + 6 a}{4 a} \cdot \frac{8}{2 a + 3}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{4 {a}^{2} + 6 a}{4 a} \cdot \frac{8}{2 a + 3} = \frac{2 \cdot \left(4 a^{2} + 6 a\right)}{a \left(2 a + 3\right)} \)
Expanded
\[\frac{4 {a}^{2} + 6 a}{4 a} \cdot \frac{8}{2 a + 3} = \frac{32 a^{2}}{8 a^{2} + 12 a} + \frac{48 a}{8 a^{2} + 12 a}\]
Factored
\[\frac{4 {a}^{2} + 6 a}{4 a} \cdot \frac{8}{2 a + 3} = 4\]