3×4^2+8−(11+4)^2÷3

asked by guest
on Sep 22, 2024 at 10:16 am



You asked:

Evaluate the expression: \(3 \cdot {4}^{2} + 8 - \frac{{\left( 11 + 4 \right)}^{2}}{3}\)

MathBot Answer:

\[3 \cdot {4}^{2} + 8 - \frac{{\left( 11 + 4 \right)}^{2}}{3} = -19\]

\[\begin{aligned}3 \cdot {4}^{2} + 8 - \frac{{\left( 11 + 4 \right)}^{2}}{3}& = 3 \cdot 4^{2} + 8 - \left(11 + 4\right)^{2} \cdot \frac{1}{3}\\& = 3 \cdot 16 + 8 - \left(11 + 4\right)^{2} \cdot \frac{1}{3}\\& = 48 + 8 - \left(11 + 4\right)^{2} \cdot \frac{1}{3}\\& = 48 + 8 - 15^{2} \cdot \frac{1}{3}\\& = 48 + 8 - \frac{225}{3}\\& = 48 + 8 - 75\\& = 56 - 75\\& = -19\end{aligned}\]

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