[4÷(6-2)+7²] - [2-(-5)]²
You asked:
Evaluate the expression: \(\frac{4}{6 - 2} + {7}^{2} - {\left( 2 - -5 \right)}^{2}\)
MathBot Answer:
\[\frac{4}{6 - 2} + {7}^{2} - {\left( 2 - -5 \right)}^{2} = 1\]
\[\begin{aligned}\frac{4}{6 - 2} + {7}^{2} - {\left( 2 - -5 \right)}^{2}& = 4 \cdot \frac{1}{6 - 2} + 7^{2} - \left(2 + 5\right)^{2}\\& = \frac{4}{4} + 7^{2} - \left(2 + 5\right)^{2}\\& = 1 + 7^{2} - \left(2 + 5\right)^{2}\\& = 1 + 49 - \left(2 + 5\right)^{2}\\& = 1 + 49 - 7^{2}\\& = 1 + 49 - 49\\& = 50 - 49\\& = 1\end{aligned}\]