Math, asked by MARIAANNAALWIN, 1 year ago

Pls someone answer this fast..
Pls answer step wise

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Answers

Answered by Anonymous
9
hey mate
here is ur answer
512^3-253^3-259^3
=(253+259)^3-253+259^3
=(253^3+3 *253^2*259+3*253*259^2+259^3)-253^3+259^3
=3*253^2*259+3*253*259^2
=3*253*259*(253+259),by factoring
=3*253*259*512
=3*(11*23)*(7*37)*2^9
=2^9*3*7*11*23*37.

Since 2,3,7,11,23,37 are primes ,I conclude that the given number has 6 distinct prime number's.

I hope this helps!

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