Why does a²+b²+ab = (a+b)²-ab
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Step-by-step explanation:
We can write (a+b )^2 as (a+b)(a+b)
so on multiplying :
(axa)+(axb)+(bxa)+ (bxb)
= a^2+ ab + ab + b^2
= a^2+ 2ab + b^2
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