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13-01-2020
Mathematics

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Prove the divisibility of the following numbers: 5^5-5^4+5^3 by 7

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13-01-2020

Step-by-step explanation:

5⁵ − 5⁴ + 5³

Factor 5³.

5³ (5² − 5 + 1)

5³ (25 − 5 + 1)

5³ (21)

21 is a multiple of 7, so 5⁵ − 5⁴ + 5³ is a multiple of 7.

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