[4÷(6-2)+7²] - [2-(-5)]²

asked by guest
on Oct 25, 2024 at 8:15 pm



You asked:

Evaluate the expression: \(\frac{4}{6 - 2} + {7}^{2} - {\left( 2 - -5 \right)}^{2}\)

MathBot Answer:

\[\frac{4}{6 - 2} + {7}^{2} - {\left( 2 - -5 \right)}^{2} = 1\]

\[\begin{aligned}\frac{4}{6 - 2} + {7}^{2} - {\left( 2 - -5 \right)}^{2}& = 4 \cdot \frac{1}{6 - 2} + 7^{2} - \left(2 + 5\right)^{2}\\& = \frac{4}{4} + 7^{2} - \left(2 + 5\right)^{2}\\& = 1 + 7^{2} - \left(2 + 5\right)^{2}\\& = 1 + 49 - \left(2 + 5\right)^{2}\\& = 1 + 49 - 7^{2}\\& = 1 + 49 - 49\\& = 50 - 49\\& = 1\end{aligned}\]

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