Simple polynomial division by factorization (16x-1) divided by (4x ^ + 1) divided by (2x-1)

Simple polynomial division by factorization (16x-1) divided by (4x ^ + 1) divided by (2x-1)

(16x quartic-1) divided by (4x ^ + 1) divided by (2x-1)
=(4x²+1)(4x²-1)÷(4x²+1)÷(2x-1)
=(2x+1)(2x-1)÷(2x-1)
=2x+1