w/w+3 - 5/w(w+3
)
You asked:
Evaluate the expression: \(\frac{w}{w} + 3 - \frac{5}{w \cdot \left(w + 3\right)}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{w}{w} + 3 - \frac{5}{w \cdot \left(w + 3\right)} = 4 - \frac{5}{w \left(w + 3\right)} \)
Expanded
\[\frac{w}{w} + 3 - \frac{5}{w \cdot \left(w + 3\right)} = 4 - \frac{5}{w^{2} + 3 w}\]
Factored
\[\frac{w}{w} + 3 - \frac{5}{w \cdot \left(w + 3\right)} = \frac{4 w^{2} + 12 w - 5}{w \left(w + 3\right)}\]