x = 2
y = (-3)
find ( $\frac{2}{5}$ $x^{2}$-$\frac{1}{6}$$y^{2}$)(7 $x^{2}$+2$y^{2}$)You asked:
Given the following equations: \[\begin{aligned}x &= 2\\ y &= -3\end{aligned}\] Evaluate \(\left(\frac{2}{5} \cdot {x}^{2} - \frac{1}{6} \cdot {y}^{2}\right) \cdot \left(7 \cdot {x}^{2} + 2 \cdot {y}^{2}\right)\).
MathBot Answer:
\[\left(\frac{2}{5} \cdot {x}^{2} - \frac{1}{6} \cdot {y}^{2}\right) \cdot \left(7 \cdot {x}^{2} + 2 \cdot {y}^{2}\right) = \left(\frac{2}{5} \cdot {2}^{2} - \frac{1}{6} \cdot {\left( -3 \right)}^{2}\right) \cdot \left(7 \cdot {2}^{2} + 2 \cdot {\left( -3 \right)}^{2}\right) = \frac{23}{5}\]