Question

Show that : 35³ + 27³ is divisible by 62

Answer 1

(35³ + 27³)
[Using identity (a³ + b³)=(a + b)(a² - ab + b²)]
= ( 35 + 27 )( 35² + 35× 27 + 27² )
= 62 × ( 35² + 35 × 27 + 27² )
Therefore, the number is divisible by 62.