100-2*{8+[3*(36/9+2)]+(10-4)^2}=

asked by guest
on Nov 15, 2024 at 3:42 am



You asked:

Evaluate the expression: \(100 - 2 \cdot \left(8 + 3 \cdot \left(\frac{36}{9} + 2\right) + {\left( 10 - 4 \right)}^{2}\right)\)

MathBot Answer:

\[100 - 2 \cdot \left(8 + 3 \cdot \left(\frac{36}{9} + 2\right) + {\left( 10 - 4 \right)}^{2}\right) = -24\]

\[\begin{aligned}100 - 2 \cdot \left(8 + 3 \cdot \left(\frac{36}{9} + 2\right) + {\left( 10 - 4 \right)}^{2}\right)& = 100 - 2 \cdot \left(8 + 3 \cdot \left(\frac{36}{9} + 2\right) + \left(10 - 4\right)^{2}\right)\\& = 100 - 2 \cdot \left(8 + 3 \cdot 6 + \left(10 - 4\right)^{2}\right)\\& = 100 - 2 \cdot \left(8 + 18 + \left(10 - 4\right)^{2}\right)\\& = 100 - 2 \cdot \left(8 + 18 + 6^{2}\right)\\& = 100 - 2 \cdot \left(8 + 18 + 36\right)\\& = 100 - 2 \cdot \left(26 + 36\right)\\& = 100 - 2 \cdot 62\\& = 100 - 124\\& = -24\end{aligned}\]

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