$(-1)^{3} $ + $(-2)^ {3}$ + $(-3)^{3}$ + $(-4)^{3}$ + 2$(5)^{3}$

asked by guest
on Sep 23, 2024 at 12:23 am



You asked:

Evaluate the expression: \({\left( -1 \right)}^{3} + {\left( -2 \right)}^{3} + {\left( -3 \right)}^{3} + {\left( -4 \right)}^{3} + 2 \cdot {5}^{3}\)

MathBot Answer:

\[{\left( -1 \right)}^{3} + {\left( -2 \right)}^{3} + {\left( -3 \right)}^{3} + {\left( -4 \right)}^{3} + 2 \cdot {5}^{3} = 150\]

\[\begin{aligned}{\left( -1 \right)}^{3} + {\left( -2 \right)}^{3} + {\left( -3 \right)}^{3} + {\left( -4 \right)}^{3} + 2 \cdot {5}^{3}& = \left(-1\right)^{3} + \left(-2\right)^{3} + \left(-3\right)^{3} + \left(-4\right)^{3} + 2 \cdot 5^{3}\\& = -1 + \left(-2\right)^{3} + \left(-3\right)^{3} + \left(-4\right)^{3} + 2 \cdot 5^{3}\\& = -1 - 8 + \left(-3\right)^{3} + \left(-4\right)^{3} + 2 \cdot 5^{3}\\& = -1 - 8 - 27 + \left(-4\right)^{3} + 2 \cdot 5^{3}\\& = -1 - 8 - 27 - 64 + 2 \cdot 5^{3}\\& = -1 - 8 - 27 - 64 + 2 \cdot 125\\& = -1 - 8 - 27 - 64 + 250\\& = -9 - 27 - 64 + 250\\& = -36 - 64 + 250\\& = -100 + 250\\& = 150\end{aligned}\]

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