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Multiply both sides by a:

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Subtract b² from both sides:

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Factor both sides:

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Divide both sides by (a-b):

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Substitute numerical values for a and b:

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Simplify:

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It is a latin term called 'Quod erat demonstrandum' and the abbreviation signals 'the completion of the proof.' Its commonly used after you prove something.

This thread is full of geniuses
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That's rocks falling down a cliff not sarcasm.

/sarcasm =D

If only sarcasm were detectable through text.

You can't divide by zero.

(a+b) (a-b) = b(a-b)
no that doesn't work because your adding a or 1 to the b thats already there it only works because your earasing everything by using the multiplicative property of 0 theoretically you could use any number as b and it would equal 0 on both sides but when you break it down its not equal it looks like this
2 X 0 = 1 X 0 and everything times 0 equals 0

btw here is proof 1 doesn't equal 2 2-1=1 1-1=0
1 isn't equal to 0

Someone needs to help me piece my head together because my mind was just blown

that only works cos you set a=b at the start, you cannot assume that

Ladies and Gentlemen presenting the ONE...the ONLY...LEONHARD EULER.

/sarcasm

He didn't "assume" a=b he MADE those 2 variables equal to each other...don't worry you'll learn that in 6th grade.