Question

if n is any odd integer,show that n2-1 is divisible by 8

Answer 1

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Answer 2

HI FRIEND

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HERE IS YOUR ANSWER :-

GIVEN :

n IS AN ODD NUMBER.

TO PROVE : n^2 - 1 IS DIVISIBLE BY 8.

I) LET THE ODD NUMBER BE 3

SO : = 3^2 -1

= 9 - 1

= 8

SO, 8 IS DIVISIBLE BY 8

II) LET THE ODD NUMBER BE 5

SO : = 5^2 - 1

= 25 - 1

= 24

SO, 24 IS DIVISIBLE BY 8.

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