Question

Simplify : 16 × 2^n+2 - 2 × 2^n+2​

Answer 1

${\huge{\underline{\bf{\pink{Question}}}}}$

Simplify : 16 × 2^n+2 - 2 × 2^n+2​

${\huge{\boxed{\sf{\green{Answer}}}}}$

Heymate!

$\begin{gathered}\frac{(16\times 2^{n}\times2) - (4\times 2^{n})}{(16\times 2^{n+2})-(2\times 2^{n+2})}\\\\\implies \frac{(16\times 2^{n}\times 2)-(4\times2^{n})}{(16\times 2^{n}\times 2^{2})- 2\times 2^{n}\times 2^{2}}\\\\\implies \frac{\cancel{4\times 2^{n}}(4\times 2 -1)}{\cancel{4\times 2^{n}}(16-2)}\\\\\implies \frac{(8-1)}{(16-2)}\\\\\implies \frac{\cancel 7}{\cancel {14}^{2}}\\\\\implies \frac{1}{2}\end{gathered}$$(16×2 n+2 )−(2×2 n+2 )(16×2 n ×2)−(4×2 n )​ ⟹ (16×2 n ×2 2 )−2×2 n ×$

$\boxed{\pink{ Answer\implies \frac{1}{2}}} Answer⟹ 21$