( √ 3 + √ 2 )^3 + ( √ 3 − √ 2 )^3
You asked:
Evaluate the expression: \({\left( \sqrt{3} + \sqrt{2} \right)}^{3} + {\left( \sqrt{3} - \sqrt{2} \right)}^{3}\)
MathBot Answer:
\[{\left( \sqrt{3} + \sqrt{2} \right)}^{3} + {\left( \sqrt{3} - \sqrt{2} \right)}^{3} = \left(- \sqrt{2} + \sqrt{3}\right)^{3} + \left(\sqrt{2} + \sqrt{3}\right)^{3} \approx 31.1769145362397912834940341471057\]
\[\begin{aligned}{\left( \sqrt{3} + \sqrt{2} \right)}^{3} + {\left( \sqrt{3} - \sqrt{2} \right)}^{3}& = \left(\sqrt{3} + \sqrt{2}\right)^{3} + \left(\sqrt{3} - \sqrt{2}\right)^{3}\\& = \left(\sqrt{2} + \sqrt{3}\right)^{3} + \left(\sqrt{3} - \sqrt{2}\right)^{3}\end{aligned}\]