(m-2n+p) whole square 2
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(m-2n+p) whole square 2
(m-2n+p)(m-2n+p)
m2-2nm+pm-2nm+4n2-2np+pm-2np+p2
m2+4n2+p2-4nm+2pm-4np
Well, it’s more of an expression.
First let’s put it into a more readable form:
(a-b+c)(a-b+c)
For this, we select a term, and multiply it with each term in the other bracket, and then repeat until all terms have been selected.
So we’ll have:
aa -ab + ac -ba + bb -bc +ca -cb +cc
Which can be rewritten into:
a² + b² + c² - 2ab - 2bc + 2ac
Or, if you like:
a² + b² + c² - 2(ab + bc -ac)
BY -- $K
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