(4x^{2}+9x+2)/(2x+3
)
You asked:
Evaluate the expression: \(\frac{4 \cdot {x}^{2} + 9 x + 2}{2 x + 3}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{4 \cdot {x}^{2} + 9 x + 2}{2 x + 3} = \frac{4 x^{2} + 9 x + 2}{2 x + 3} \)
Expanded
\[\frac{4 \cdot {x}^{2} + 9 x + 2}{2 x + 3} = \frac{4 x^{2}}{2 x + 3} + \frac{9 x}{2 x + 3} + \frac{2}{2 x + 3}\]
Factored
\[\frac{4 \cdot {x}^{2} + 9 x + 2}{2 x + 3} = \frac{\left(4 x + 1\right) \left(x + 2\right)}{2 x + 3}\]