Consider the nonhomogeneous linear recurrence relation \(aₙ = 2aₙ₋₁ + 2ⁿ.\) What is the solution to this recurrence relation?
a) \(aₙ = 2ⁿ(n-1)\)
b) \(aₙ = 2ⁿ(n+1)\)
c) \(aₙ = 2ⁿ⁺¹(n-1)\)
d) \(aₙ = 2ⁿ⁺¹(n+1)\)