24/-6+3{-4(-2)³-[(-4)²+4(-3)]}.

asked by guest
on Dec 28, 2024 at 9:52 am



You asked:

Evaluate the expression: 24−6+3(−(4(−2)3)−((−4)2+4⋅−3))\frac{24}{-6} + 3 \left(-\left( 4 {\left( -2 \right)}^{3} \right) - \left({\left( -4 \right)}^{2} + 4 \cdot -3\right)\right)

MathBot Answer:

24−6+3(−(4(−2)3)−((−4)2+4⋅−3))=80\frac{24}{-6} + 3 \left(-\left( 4 {\left( -2 \right)}^{3} \right) - \left({\left( -4 \right)}^{2} + 4 \cdot -3\right)\right) = 80

24−6+3(−(4(−2)3)−((−4)2+4⋅−3))=−4+3(−(4(−2)3)−((−4)2+4⋅−3))=−4+3(−(4⋅−23)−((−4)2+4⋅−3))=−4+3(−(4⋅−8)−((−4)2+4⋅−3))=−4+3(−−32−((−4)2+4⋅−3))=−4+3(32−((−4)2+4⋅−3))=−4+3(32−(−42+4⋅−3))=−4+3(32−(16+4⋅−3))=−4+3(32−(16+−12))=−4+3(32−4)=−4+3⋅28=−4+84=80\begin{aligned}\frac{24}{-6} + 3 \left(-\left( 4 {\left( -2 \right)}^{3} \right) - \left({\left( -4 \right)}^{2} + 4 \cdot -3\right)\right)&=-4 + 3 \left(-\left( 4 {\left( -2 \right)}^{3} \right) - \left({\left( -4 \right)}^{2} + 4 \cdot -3\right)\right)\\&=-4 + 3 \left(-\left( 4 \cdot {-2}^{3} \right) - \left({\left( -4 \right)}^{2} + 4 \cdot -3\right)\right)\\&=-4 + 3 \left(-\left( 4 \cdot -8 \right) - \left({\left( -4 \right)}^{2} + 4 \cdot -3\right)\right)\\&=-4 + 3 \left(--32 - \left({\left( -4 \right)}^{2} + 4 \cdot -3\right)\right)\\&=-4 + 3 \left(32 - \left({\left( -4 \right)}^{2} + 4 \cdot -3\right)\right)\\&=-4 + 3 \left(32 - \left({-4}^{2} + 4 \cdot -3\right)\right)\\&=-4 + 3 \left(32 - \left(16 + 4 \cdot -3\right)\right)\\&=-4 + 3 \left(32 - \left(16 + -12\right)\right)\\&=-4 + 3 \left(32 - 4\right)\\&=-4 + 3 \cdot 28\\&=-4 + 84\\&=80\end{aligned}

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