Question

Comparati: x=2^83+2^83 si y=3^43-2*3^42+3^41

Answer 1

x = 2^83 + 2^83
x = 2^83 × (1 + 1) = 2^83 × 2 = 2^84

y = 3^43 - 2 × 3^42 + 3^41
y = 3^41 × (3^2 - 2 × 3^1 + 1)
y = 3^41 × (9 - 6 + 1)
y = 3^41 × 4

x = 2^84 = (2^2)^42 = 4^42

4^42 > 3^41 × 4
x > y