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  • The difference between the squares of two consecutive odd integers is always divisible which which one digit number?Id be thankful for explanation as well.

The difference between the squares of two consecutive odd integers is always divisible which which one digit number?Id be thankful for explanation as well.

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Let;the;two;consecutive;odd;integers;be;(2n+1);and;(2n+3).;Then, \*Rightarrow (2n+3)^2-(2n-1)^2=(2n+3+2n+1)(2n+3-2n-1)\*Rightarrow (4n+4) imes2=8(n+1)\*which ;is ;divisible; by; 8.

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Deependra Verma

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