2(-⅓)²+3(-⅓)-1

asked by guest
on Nov 20, 2024 at 9:18 pm



You asked:

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

MathBot Answer:

\[2 \cdot {\left( -\left( \frac{1}{3} \right) \right)}^{2} + 3 \cdot -\left( \frac{1}{3} \right) - 1 = - \frac{16}{9} = -1.\overline{7}\]

\[\begin{aligned}2 \cdot {\left( -\left( \frac{1}{3} \right) \right)}^{2} + 3 \cdot -\left( \frac{1}{3} \right) - 1& = 2 \cdot \left(- \frac{1}{3}\right)^{2} + \frac{-3}{3} - 1\\& = \frac{2}{9} + \frac{-3}{3} - 1\\& = \frac{2}{9} - 1 - 1\\& = - \frac{7}{9} - 1\\& = - \frac{16}{9}\end{aligned}\]

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