(30 - 22)2 - (-2)3 (-3)2 รท (9-3)2

asked by guest
on Oct 20, 2024 at 9:58 pm



You asked:

Evaluate the expression: \(\left(30 - 22\right) \cdot 2 - \frac{-2 \cdot 3 \cdot -3 \cdot 2}{\left(9 - 3\right) \cdot 2}\)

MathBot Answer:

\[\left(30 - 22\right) \cdot 2 - \frac{-2 \cdot 3 \cdot -3 \cdot 2}{\left(9 - 3\right) \cdot 2} = 13\]

\[\begin{aligned}\left(30 - 22\right) \cdot 2 - \frac{-2 \cdot 3 \cdot -3 \cdot 2}{\left(9 - 3\right) \cdot 2}& = \left(30 - 22\right) \cdot 2 - -2 \cdot 3 \cdot -3 \cdot 2 \cdot \frac{1}{\left(9 - 3\right) \cdot 2}\\& = 8 \cdot 2 - -2 \cdot 3 \cdot -3 \cdot 2 \cdot \frac{1}{\left(9 - 3\right) \cdot 2}\\& = 16 - -2 \cdot 3 \cdot -3 \cdot 2 \cdot \frac{1}{\left(9 - 3\right) \cdot 2}\\& = 16 - -2 \cdot 3 \cdot -3 \cdot 2 \cdot \frac{1}{6 \cdot 2}\\& = 16 - -2 \cdot 3 \cdot -3 \cdot \frac{2}{12}\\& = 16 - -2 \cdot 3 \cdot \frac{-3}{6}\\& = 16 - -6 \cdot \frac{-3}{6}\\& = 16 - \frac{18}{6}\\& = 16 - 3\\& = 13\end{aligned}\]

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