Discrete Math 1.7.1 Direct Proof

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This is the greatest YouTube series of all time

spacecowjacob
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Very helpful as always Professor. I now also understand why Jack sparrow said " QED you're not really here" to Will turner in Pirates of the Caribbean At worlds end.

jasonbazmore
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Is there a mathematical law which states that 2r will always be even in the last example? I didn't find it convincing without running through several examples.

ryanjacksonx
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How you have expanded the square, please explain

redrose
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(2k+1)² and after this very next step how did it become (4k² + 4k +1), will you please explain

redrose
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Oh my I have stumbled upon a blessing of a woman :0

nikily