Simplify 3 2n 1 - 4 2n-1 2n 1 - 2n

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Simplify 3(2ⁿ⁺¹) - 4(2^n-1) 2ⁿ⁺¹ - 2ⁿ

Correct Option: C

Start by expanding 3(2ⁿ⁺¹) - 4(2^n-1) 2ⁿ⁺¹ - 2ⁿ:

3 x 2ⁿ x 2¹ - 2² x 2ⁿ x 2^-1 2ⁿ x 2 -2ⁿ

Solving the equation above gives;
2ⁿ x 2¹ x 2 2ⁿ = 2 x 2 = 4