Question

$$( { x }^{ 2 } + { y }^{ 2 } +xy+1)( { x }^{ 2 } + { y }^{ 2 } -xy-1)$$

Evaluate

$x^{4}-2xy+y^{4}+\left(xy\right)^{2}-1$

Expand

$x^{4}-2xy+y^{4}+\left(xy\right)^{2}-1$