Question

Докажите что 23^3+32^3 делится на 55ОЧЕНЬ СРОЧНОО!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

23+32=55 из этого следует что пример делится на 55

Answer 2

Proof that 23^3 + 32^3 is divisible by 55

To prove that 23^3 + 32^3 is divisible by 55, we can use the concept of modular arithmetic.

Modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" after reaching a certain value called the modulus. In this case, the modulus is 55.

To show that 23^3 + 32^3 is divisible by 55, we need to demonstrate that the sum is congruent to 0 modulo 55. In other words, we need to show that (23^3 + 32^3) mod 55 = 0.

Let's calculate (23^3 + 32^3) mod 55:

23^3 mod 55 = 12167 mod 55 = 17 32^3 mod 55 = 32768 mod 55 = 23

Now, let's calculate the sum:

(23^3 + 32^3) mod 55 = (17 + 23) mod 55 = 40 mod 55 = 40

Since (23^3 + 32^3) mod 55 = 40, and 40 is not equal to 0, we can conclude that 23^3 + 32^3 is not divisible by 55.

Therefore, the claim that 23^3 + 32^3 is divisible by 55 is false.