(x+y)³ - (x-y)³
You asked:
Evaluate the expression: \({\left( x + y \right)}^{3} - {\left( x - y \right)}^{3}\)
MathBot Answer:
Evaluated
\(\displaystyle {\left( x + y \right)}^{3} - {\left( x - y \right)}^{3} = - \left(x - y\right)^{3} + \left(x + y\right)^{3} \)
Expanded
\[{\left( x + y \right)}^{3} - {\left( x - y \right)}^{3} = 6 x^{2} y + 2 y^{3}\]
Factored
\[{\left( x + y \right)}^{3} - {\left( x - y \right)}^{3} = 2 y \left(3 x^{2} + y^{2}\right)\]