(2 − 3)(4 − 8)(2 + 3) − 2 ∙ (3 − 5)

asked by guest
on Nov 19, 2024 at 10:37 am



You asked:

Evaluate the expression: (2−3)(4−8)(2+3)−2(3−5)\left(2 - 3\right) \left(4 - 8\right) \left(2 + 3\right) - 2 \left(3 - 5\right)

MathBot Answer:

(2−3)(4−8)(2+3)−2(3−5)=24\left(2 - 3\right) \left(4 - 8\right) \left(2 + 3\right) - 2 \left(3 - 5\right) = 24

(2−3)(4−8)(2+3)−2(3−5)=−1(4−8)(2+3)−2(3−5)=−1⋅−4(2+3)−2(3−5)=4(2+3)−2(3−5)=4⋅5−2(3−5)=20−2(3−5)=20−2⋅−2=20−−4=24\begin{aligned}\left(2 - 3\right) \left(4 - 8\right) \left(2 + 3\right) - 2 \left(3 - 5\right)&=-1 \left(4 - 8\right) \left(2 + 3\right) - 2 \left(3 - 5\right)\\&=-1 \cdot -4 \left(2 + 3\right) - 2 \left(3 - 5\right)\\&=4 \left(2 + 3\right) - 2 \left(3 - 5\right)\\&=4 \cdot 5 - 2 \left(3 - 5\right)\\&=20 - 2 \left(3 - 5\right)\\&=20 - 2 \cdot -2\\&=20 - -4\\&=24\end{aligned}

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