if n is an odd integer ,then show that n2-1 is divisible by 8.

Asked by FEHMEEDAH NAZNEEN | 30th Aug, 2010, 09:00: PM

Expert Answer:

n2 -1 for n odd integer.So n = 2m+1n2-1 = 2m+12 -1 =( 4m2+4m+1)-1                                         =   4m2+4m                                           =4m(m+1)m and m+1 are consecutive integers so one of them is an even number.Hence n2-1 is divisible by 4x2 = 8.">

Answered by  | 31st Aug, 2010, 10:13: AM

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