3−[(−25)÷5+(−2)3]+{−2+(−3)2[(−9+5)÷(−2)]}
You asked:
Evaluate the expression: \(3 - \left(\frac{-25}{5} + -2 \cdot 3\right) + -2 + -3 \cdot 2 \cdot \frac{-9 + 5}{-2}\)
MathBot Answer:
\[3 - \left(\frac{-25}{5} + -2 \cdot 3\right) + -2 + -3 \cdot 2 \cdot \frac{-9 + 5}{-2} = 0\]
\[\begin{aligned}3 - \left(\frac{-25}{5} + -2 \cdot 3\right) + -2 + -3 \cdot 2 \cdot \frac{-9 + 5}{-2}& = 3 - \left(- \frac{25}{5} - 6\right) - 2 - 6 \cdot \left(-9 + 5\right) \cdot \frac{1}{-2}\\& = 3 - -11 - 2 - 6 \cdot \left(-9 + 5\right) \cdot \frac{1}{-2}\\& = 3 + 11 - 2 - 6 \cdot \left(-9 + 5\right) \cdot \frac{1}{-2}\\& = 3 + 11 - 2 - 6 \cdot \frac{-4}{-2}\\& = 3 + 11 - 2 - 6 \cdot 2\\& = 3 + 11 - 2 - 12\\& = 14 - 2 - 12\\& = 12 - 12\\& = 0\end{aligned}\]