(8-2)3-2(5-1)(4+3)+3(6-4)(8+7)

asked by guest
on Jan 25, 2025 at 4:18 pm



You asked:

Evaluate the expression: \(\left(8 - 2\right) \cdot 3 - 2 \left(5 - 1\right) \left(4 + 3\right) + 3 \left(6 - 4\right) \left(8 + 7\right)\)

MathBot Answer:

\[\left(8 - 2\right) \cdot 3 - 2 \left(5 - 1\right) \left(4 + 3\right) + 3 \left(6 - 4\right) \left(8 + 7\right) = 52\]

\[\begin{aligned}\left(8 - 2\right) \cdot 3 - 2 \left(5 - 1\right) \left(4 + 3\right) + 3 \left(6 - 4\right) \left(8 + 7\right)& = \left(8 - 2\right) \cdot 3 - 2 \cdot \left(5 - 1\right) \cdot \left(4 + 3\right) + 3 \cdot \left(6 - 4\right) \cdot \left(8 + 7\right)\\& = 6 \cdot 3 - 2 \cdot \left(5 - 1\right) \cdot \left(4 + 3\right) + 3 \cdot \left(6 - 4\right) \cdot \left(8 + 7\right)\\& = 18 - 2 \cdot \left(5 - 1\right) \cdot \left(4 + 3\right) + 3 \cdot \left(6 - 4\right) \cdot \left(8 + 7\right)\\& = 18 - 2 \cdot 4 \cdot \left(4 + 3\right) + 3 \cdot \left(6 - 4\right) \cdot \left(8 + 7\right)\\& = 18 - 2 \cdot 4 \cdot 7 + 3 \cdot \left(6 - 4\right) \cdot \left(8 + 7\right)\\& = 18 - 8 \cdot 7 + 3 \cdot \left(6 - 4\right) \cdot \left(8 + 7\right)\\& = 18 - 56 + 3 \cdot \left(6 - 4\right) \cdot \left(8 + 7\right)\\& = 18 - 56 + 3 \cdot 2 \cdot \left(8 + 7\right)\\& = 18 - 56 + 3 \cdot 2 \cdot 15\\& = 18 - 56 + 6 \cdot 15\\& = 18 - 56 + 90\\& = -38 + 90\\& = 52\end{aligned}\]

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