Question

\(\dfrac{25^6+5^4}{25^5+25}\)

Answer 1

= \(\dfrac{25^6+5^4}{25^5+5^2}\)
= \(\dfrac{\left(5^2\right)^6+5^4}{\left(5^2\right)^3+5^2}\)
= \(\dfrac{5^{8+4}+5^4}{5^{8+4}+5^2}\)
= \(\dfrac{5^8.5^4+5^4}{5^8.5^2+5^2}\)
= \(\dfrac{5^4.\left(5^8+1\right)}{5^2.\left(5^8+1\right)}=\dfrac{5^4}{5^2}=5^2\)