Question

(125^2 +25^2) (5^2-1) is divisible by 3

Answer 1

It is divisible by 3.

Explanation:

(125² + 25²)(5² - 1) ÷ 3

(15625 + 625)(25 - 1) ÷ 3

(16250)(24) ÷ 3

390000 ÷ 3

130000

Answer 2

See Below.

Explanation:

We want to prove that the expression:

`(125^2+25^2)(5^2-1)`

Is divisible by three.

We can simplify the second factor:

`=(125^2+25^2)(25-1)\\\\ = (125^2+25^2)(24) \\\\ = (125^2+25^2)(8\cdot 3)`

Since the second factor is being multiplied by three, we can conclude that the entire expression is divisible by three.