HOC24
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A= \(\dfrac{15^{15}+1}{15^{17}+1}\) → 15A = 15.\(\dfrac{15^{16}+1}{15^{17}+1}\)=\(\dfrac{15^{17}+1+14}{15^{17}+1}\)=1+\(\dfrac{14}{15^{17}+1}\)
B=\(\dfrac{15^{15}+1}{15^{16}+1}\)→15B = 15.\(\dfrac{15^{16}+1}{15^{16}+1}\)=\(\dfrac{15^{16}+1+14}{15^{16}+1}\)=1+\(\dfrac{14}{15^{16}+1}\)
\(Vì\) \(\dfrac{14}{15^{17}+1}\)\(< \)\(\dfrac{14}{15^{16}+1}\)→\(15A< 15B\)→\(A< B\).