(19 – 4)² ÷ (34 – 5²)
You asked:
Evaluate the expression: \(\frac{{\left( 19 - 4 \right)}^{2}}{34 - {5}^{2}}\)
MathBot Answer:
\[\frac{{\left( 19 - 4 \right)}^{2}}{34 - {5}^{2}} = 25\]
\[\begin{aligned}\frac{{\left( 19 - 4 \right)}^{2}}{34 - {5}^{2}}& = \left(19 - 4\right)^{2} \cdot \frac{1}{34 - 5^{2}}\\& = 15^{2} \cdot \frac{1}{34 - 5^{2}}\\& = 225 \cdot \frac{1}{34 - 5^{2}}\\& = 225 \cdot \frac{1}{34 - 25}\\& = \frac{225}{9}\\& = 25\end{aligned}\]