Question

3×2^n+1 +2^n÷2^n+2 - 2^n-1. simplify it​

Answer 1

Answer:

33×2^n+1 +2^n÷2^n+2 - 2^n-1.

Answer 2

$\large\bold\color{tan}{\underbrace{Explanation}:-}$

$= > 3 \times {2}^{n + 1} + 1 - {2}^{n - 1}$

$\large\bold\color{tan}{\underbrace{Explanation}:-}$

$3 \times {2}^{n + 1} + {2}^{n} \div {2}^{n + 2}- {2}^{n - 1}$

$\small3 \times {2}^{n + 1} + {2}^{n} \times {2}^ { - (n + 1)} \times {2}^{1} - {2}^{ {n - 1} }$

$= > 3 \times {2}^{n + 1} + {2}^{n - (n + 1) + 1} - {2}^{n - 1}$

$= > 3 \times 2 + {2}^{n - n - 1 + 1} - {2}^{n - 1}$

$= > 3 \times {2}^{n + 1} + {2}^{0} - {2}^{n - 1}$

$= > 3 \times {2}^{n + 1} + 1 - {2}^{n - 1}$