Question

So sánh: A=\(\dfrac{15^{16^{ }}+1}{15^{17}+1};B=\dfrac{15^{15}+1}{15^{16}+1}\)

Answer 1

\(15A=\dfrac{15^{17}+15}{15^{17}+1}=1+\dfrac{14}{15^{17}+1}\)

\(15B=\dfrac{15^{16}+15}{15^{16}+1}=1+\dfrac{14}{15^{16}+1}\)

mà \(15^{17}+1>15^{16}+1\)

nên A<B