If and are the complex cube roots of unity, then ^3+ ^3+ ⁻² ⁻² is equal to

Step-by-step solution

aligned & ^3+ ^3+ ⁻² ⁻²= ^3+ ^3+ 1 ^2 ^2 & = ^3+ ^6+ 1 ^2 ^4 =1+1+1=3 aligned