nafanotrano55 nafanotrano55

16-01-2022
Mathematics

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Prove that 9^6 - 3^10 is divisible by 24

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sqdancefan sqdancefan

22-01-2022

Explanation:

We can simplify the expression and see if it has a factor of 24. It does.

9^6 -3^10 = (3^2)^6 -3^10

= 3^12 -3^10 = 3^10(3^2 -1)

= 8×3^10

= (24)(3^9) . . . . a number divisible by 24

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