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

(125^2 +25^2) (5^2-1) is divisible by 3-example-1
User Grolschie
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2 Answers

19 votes
19 votes

Answer:

It is divisible by 3.

Explanation:

(125² + 25²)(5² - 1) ÷ 3

(15625 + 625)(25 - 1) ÷ 3

(16250)(24) ÷ 3

390000 ÷ 3

130000

User Kero Fawzy
by
3.1k points
16 votes
16 votes

Answer:

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.

User Shriakhilc
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3.0k points