Question

Prove that 32^5-16^5+2^19 is divisible by 63

Answer 1

see below

Explanation:

32^5 - 16^5 +2^19 = (2*16)^5 - 16^5 +2^19

= 2^5 *16 ^ 5 - 16^5+ 2^19

=32* 16 ^ 5 - 16 ^ 5 + 2^19

=31 * 16^5 + 2^19

=31 *2 ^(4*5) + 2^19

= 31 *2^20 + 2^19

= 62 *2^19 + 2^19

=63*2^19

so it's dvisible by 63