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(a + b)^2 = (a - b)^2 + 4ab

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#math #the_mechanics_of_proof

They are equal:

1. (a + b)^2 = (a - b)^2 + 4ab

2. a^2 + 2ab + b^2 = a ^ 2 - 2ab + b^2 + 4ab

3. The right side simplifies to: a ^ 2 + 2ab + b^2

I've been reading: https://hrmacbeth.github.io/math2001/

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Discussion

Laeserin 1y ago

Darnit. Dropped a sign.

I had

2ab = -2ab + 4ab

and then I moved the -2ab over and forgot to turn that into a positive.

Maff is hard. I have so much trouble moving the numbers around.

Laeserin 1y ago

So the answer is ab = ab ?

it's

a^2 + 2ab + b^2 = a^2 + 2ab + b^2

Laeserin 1y ago

So... 0 = 0 was right?

Laeserin 1y ago

I'm totally confused. 😂

This is why we have maffchines

Laeserin 1y ago

I'm bad at machines, too, unfortunately. 😂

Laeserin 1y ago

I'm not supposed to just simplify everything away, right? That's my error.

Or something.

Me too. I've been studying to re-learn so I can become more of a computer scientist, rather than a programmer. I have been following these for cirriculum:

https://functionalcs.github.io/curriculum/

https://teachyourselfcs.com/