Question

Simply the question


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Answer 1

$\huge\tt\underline\red{Answer}$

➠ 1/6

Answer 2

Answer:

$\frac{1}{6}$

Step-by-step explanation:

Question:

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

Solution:

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

$= > \frac{5 \times ( {5}^{2})^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - ({5}^{2}) ^{n + 1} } \\ = > \frac{ {5}^{1 + 2n + 2} - {5}^{2 + 2n} }{ {5}^{1 + 2n + 3} - {5}^{2n + 2} } \\ = > \frac{ {5}^{3 + 2n} - {5}^{2 + 2n} }{ {5}^{4 + 2n} - {5}^{2n + 2} } \\ = > \frac{ {5}^{2n} - ( {5}^{3} - {5}^{2} )}{ {5}^{2n} - ( {5}^{4} - {5}^{2} )} \\ = > \frac{125 - 25}{625 - 25} \\ = > \frac{100}{600} \\ = > \frac{1}{6} \: ans.$

${}^{hope \: its \: help \: you} \\ please \: mark \: me \: brainlist \: ans.$