prove that the square of any odd integer is odd

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Direct Proof: The negative of any odd integer is odd (Version 2)

Direct Proof: The negative of any odd integer is odd (Version 1)

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Direct Proof EX2 Prove if n is odd then n^2 is odd + Definition of Odd Integer Explained

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Geometric Proof for why the sum of the First n Odd Numbers equals to n^2

Every odd integer is the difference of 2 squares | Visual proof

CLASS 10 | Show that Square of any odd positive integer is of the form 8m+1 |

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How to prove that every odd number can be expressed as the difference of two consequential squares

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Number Theory - Prove that the product of two odd numbers is odd | Maths proof in English

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How to Approximate Square Root of a Number