5(12 − 16)2 + 5(16 − 16)2 + 11(20 − 16)2

asked by guest
on Nov 14, 2024 at 2:49 pm



You asked:

Evaluate the expression: \(5 \cdot \left(12 - 16\right) \cdot 2 + 5 \cdot \left(16 - 16\right) \cdot 2 + 11 \cdot \left(20 - 16\right) \cdot 2\)

MathBot Answer:

\[5 \cdot \left(12 - 16\right) \cdot 2 + 5 \cdot \left(16 - 16\right) \cdot 2 + 11 \cdot \left(20 - 16\right) \cdot 2 = 48\]

\[\begin{aligned}5 \cdot \left(12 - 16\right) \cdot 2 + 5 \cdot \left(16 - 16\right) \cdot 2 + 11 \cdot \left(20 - 16\right) \cdot 2& = 5 \cdot -4 \cdot 2 + 5 \cdot \left(16 - 16\right) \cdot 2 + 11 \cdot \left(20 - 16\right) \cdot 2\\& = -20 \cdot 2 + 5 \cdot \left(16 - 16\right) \cdot 2 + 11 \cdot \left(20 - 16\right) \cdot 2\\& = -40 + 5 \cdot \left(16 - 16\right) \cdot 2 + 11 \cdot \left(20 - 16\right) \cdot 2\\& = -40 + 5 \cdot 0 \cdot 2 + 11 \cdot \left(20 - 16\right) \cdot 2\\& = -40 + 0 \cdot 2 + 11 \cdot \left(20 - 16\right) \cdot 2\\& = -40 + 0 + 11 \cdot \left(20 - 16\right) \cdot 2\\& = -40 + 0 + 11 \cdot 4 \cdot 2\\& = -40 + 0 + 44 \cdot 2\\& = -40 + 0 + 88\\& = -40 + 88\\& = 48\end{aligned}\]

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