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use euclid division lemma to show that the cube of any positive integer is of the form 9m 9m+1 or 9m+8

Posted by Prajith Purayil 6 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Puneet Jaiswal 6 years, 2 months ago

Let a be a positive integer . On dividing a by 3 let q be the quotient and r be the remainder. By Euclid's Division Lemma ______ a= 3q + r where 0 < r < 3 o r= 0 . Case I when r= 0__________ a=3q _____ a³=(3q)³ _____ a³=27q³ ____ a³=9x3q³____a³=9m where m=3q³. Similarly do with other cases

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CBSE > Class 10 > Mathematics