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But why isn't it possible??

But why isn't it possible?? | (a+b)² should be a²+b² | image tagged in organs and brain | made w/ Imgflip meme maker
661 views 2 upvotes Made by DvidBenjminCsongr 2 years ago in fun
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2 Comments
1 up, 2y,
1 reply
I think I know why:

(a + b)² = (a + b) * (a + b)

and...

(a + b) * (a + b) = a² + ab + ab + b²

and...

a² + ab + ab + b² = a² + 2ab + b²
0 ups, 2y
Yes I know, this is just a meme.
Altho another approach is to imagine what the area of a square with the sides (a+b) would be: if 'a' is smaller than 'b', then there will be a small square with sides 'a' so it's a², a larger square with sides 'b' which will be b² and i'll be touching the a² at one vertex, then two rectangles with sides 'a' and 'b' connecting the a² and b² at two-two sides, filling out a bigger, (a+b)² square.
I hope this makes sense, it is much easier to see it than trying to describe it.
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(a+b)² should be a²+b²