( 12 ^2 ÷ 4 ) + ( 10^ 2 ÷ 5 ) × ( 8 − 6)
You asked:
Evaluate the expression: \(\frac{{12}^{2}}{4} + \frac{{10}^{2}}{5} \left(8 - 6\right)\)
MathBot Answer:
\[\frac{{12}^{2}}{4} + \frac{{10}^{2}}{5} \left(8 - 6\right) = 76\]
\[\begin{aligned}\frac{{12}^{2}}{4} + \frac{{10}^{2}}{5} \left(8 - 6\right)& = 12^{2} \cdot \frac{1}{4} + 10^{2} \cdot \frac{1}{5} \cdot \left(8 - 6\right)\\& = \frac{144}{4} + 10^{2} \cdot \frac{1}{5} \cdot \left(8 - 6\right)\\& = 36 + 10^{2} \cdot \frac{1}{5} \cdot \left(8 - 6\right)\\& = 36 + \frac{100}{5} \cdot \left(8 - 6\right)\\& = 36 + \frac{100}{5} \cdot 2\\& = 36 + 20 \cdot 2\\& = 36 + 40\\& = 76\end{aligned}\]