(10^2-7*10)/(4+2*3)
You asked:
Evaluate the expression: \(\frac{{10}^{2} - 7 \cdot 10}{4 + 2 \cdot 3}\)
MathBot Answer:
\[\frac{{10}^{2} - 7 \cdot 10}{4 + 2 \cdot 3} = 3\]
\[\begin{aligned}\frac{{10}^{2} - 7 \cdot 10}{4 + 2 \cdot 3}& = \left(10^{2} - 7 \cdot 10\right) \cdot \frac{1}{4 + 2 \cdot 3}\\& = \left(100 - 7 \cdot 10\right) \cdot \frac{1}{4 + 2 \cdot 3}\\& = \left(100 - 70\right) \cdot \frac{1}{4 + 2 \cdot 3}\\& = 30 \cdot \frac{1}{4 + 2 \cdot 3}\\& = 30 \cdot \frac{1}{4 + 6}\\& = \frac{30}{10}\\& = 3\end{aligned}\]