This is the proof to the first Math Proof Problem of the Week. Proof Squaring results to Now, since. Since , . This means that Now, since , is positive, which means that is positive. Therefore,

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# Posts tagged with 'algebra proof'

## Proof that -(a + b) = (-a) + (-b)

This is the second to the last post on proofs of the Basic Algebra Theorems. In this post, we prove that -(a + b) = (-a) + (-b). Theorem For any a and b, -(a + b) = (-a) + (-b). Proof – (a + b) = (-1)(a + b) by Corollary 1 of this theorem on […]

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## Proof that The Sum of Two Odd Integers is Even

Introduction We have learned that an even integers can be expressed as , where is an integer. Now if we add one to an even integer, it becomes odd. Similarly, if we subtract one from an even integer, it also becomes odd. Therefore, odd integers can be expressed as or , where is an integer. Now, […]

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