(-31x^5u+24x^5u^5)/(-4x^4u^2)
You asked:
Evaluate the expression: \(\frac{-\left( 31 \cdot {x}^{5} \cdot u \right) + 24 \cdot {x}^{5} \cdot {u}^{5}}{-\left( 4 \cdot {x}^{4} \cdot {u}^{2} \right)}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{-\left( 31 \cdot {x}^{5} \cdot u \right) + 24 \cdot {x}^{5} \cdot {u}^{5}}{-\left( 4 \cdot {x}^{4} \cdot {u}^{2} \right)} = - \frac{24 u^{5} x^{5} - 31 x^{5} u}{4 u^{2} x^{4}} \)
Expanded
\[\frac{-\left( 31 \cdot {x}^{5} \cdot u \right) + 24 \cdot {x}^{5} \cdot {u}^{5}}{-\left( 4 \cdot {x}^{4} \cdot {u}^{2} \right)} = - 6 u^{3} x + \frac{31 x}{4 u}\]
Factored
\[\frac{-\left( 31 \cdot {x}^{5} \cdot u \right) + 24 \cdot {x}^{5} \cdot {u}^{5}}{-\left( 4 \cdot {x}^{4} \cdot {u}^{2} \right)} = - \frac{x \left(24 u^{4} - 31\right)}{4 u}\]