Question

\(\frac{10^2+11^2+12^2}{13^2+14^2}\)

Ai giúp mình với mình cho 3 tik

Answer 1

\(\frac{10^2+11^2+12^2}{13^2+14^2}=\frac{10^2+11^2+12^2}{\left(10+3\right)^2+\left(11+3\right)^2}=\frac{10^2+11^2+12^2}{10^2+2.3.10+3^2+11^2+2.3.11+3^2}\)

\(=\frac{10^2+11^2+12^2}{10^2+11^2+2.3.21+3^2.2}=\frac{10^2+11^2+12^2}{10^2+11^2+2.3^2\left(7+1\right)}=\frac{10^2+11^2+12^2}{10^2+11^2+2.3^2.8}\)

\(=\frac{10^2+11^2+12^2}{10^2+11^2+4^2.3^2}=\frac{10^2+11^2+12^2}{10^2+11^2+12^2}=1\)