Question

simplify
5*25^n+1 - 25*5^2n/5*5^2n+3 -25^n+1
​

Answer 1

$\huge\red {\boxed {\mathbb {☆AnSwEr☆☆}}}$

$\frac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} } {2 \times {5}^{2n + 3} - {25}^{n + 1} }$

$= \frac{5 \times {5}^{2n + 2} - {5}^{2n} \times {5}^{2} }{ {5}^{2n} \times {5}^{n} - {5}^{2n} \times {5}^{2} }$

$= \frac{ {5}^{2n} \times {5}^{2} (5 - 1)}{ {5}^{2n} \times {5}^{2} (25 - 1)}$

$= \frac{4}{24}$

$= \frac{1}{6}$