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A^2+B^2 to (A+B)^2 In which are the situation do we take such equility . In some books I see these are taken , Below third equation in the image approximated ]1]1

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  • $\begingroup$ When you expand $(A+B)^2$, what do you get? $\endgroup$ Commented Aug 21, 2017 at 4:43
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    $\begingroup$ Sure, in a field of characteristic 2... $\endgroup$
    – Carmeister
    Commented Aug 21, 2017 at 4:46
  • $\begingroup$ In some books I see these are taken. Would you care to quote an example of such. $\endgroup$
    – dxiv
    Commented Aug 21, 2017 at 4:49
  • $\begingroup$ I doubt anyone takes them to be equal. In some situations, it's enough that they be within a constant multiple of each other; in other situations, it may be all you need is $a^2+b^2\le(a+b)^2$ (provided $a$ and $b$ are nonnegative). $\endgroup$ Commented Aug 21, 2017 at 6:07
  • $\begingroup$ Got answer now , made mistake while taking $\endgroup$
    – Pramod
    Commented Aug 21, 2017 at 6:40

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