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What is the proof that a and b are positive numbers and a is greater than b then a squared is greater than b squared?
ElizabethMaeDuran
One way to prove this is as follows:
Given a > b and a>0 and b>0
Define a new constant 'n' such that a - b = n
then a2 = (b + n)2
a2 = b2 + 2bn + n2
since b and n are both positive, 2bn is a positive value and n2 is also positive
So a2 > b2 because a2 - 2bn - n2 = b2
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∙ 13y ago
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What is the answer to a squared plus b squared and what's the proof?
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Something's missing...
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