Use a direct proof to show that every odd integer is the difference of two squares.

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Let $a\in Z$ . Let's consider $M=(a+1)^2-a^2=a^2+2a+1-a^2=2a+1$ . Formula $2a+1$ is the general formula for an odd number, so every odd number can be written as the difference of two squares. Thus, the statement has been proved.

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Question ID: mtid-5-stid-8-sqid-695-qpid-580