Question

Rút gọn: A=25²⁸+25²⁴+...+25⁴+1/25³⁰+25²⁸+...+25²+1

Answer 1

A=\(\dfrac{25^{28}+25^{24}+...+25^4+1}{25^{30}+25^{28}+...+25^2+1}\)

A=\(\dfrac{25^{28}+25^{24}+...+25^4+1}{\left(25^{28}+25^{24}+...+25^4+1\right)+\left(25^{30}+25^{26}+...+25^2\right)}\)

A=\(\dfrac{25^{28}+25^{24}+...+25^4+1}{\left(25^{28}+25^{24}+...+25^4+1\right)+25^2.\left(25^{28}+25^{24}+...+25^4+1\right)}\)

A=\(\dfrac{25^{28}+25^{24}+...+25^4+1}{\left(25^{28}+25^{24}+...+25^4+1\right).\left(25^2+1\right)}\)

A=\(\dfrac{1}{25^2+1}\)

A=\(\dfrac{1}{626}\)