Compute the following :

$open square brackets table row cell straight a squared plus straight b squared space space space space space end cell cell straight b squared plus straight c squared end cell row cell straight a squared plus straight c squared space space space space space space end cell cell straight a squared plus straight b squared end cell end table space close square brackets plus open square brackets table row cell 2 ab end cell cell space space space space space space space 2 bc end cell row cell negative 2 ac end cell cell space space space space minus 2 ab end cell end table close square brackets$

Solution

open square brackets table row cell straight a squared plus straight b squared end cell cell straight b squared plus straight c squared end cell row cell straight a squared plus straight c squared end cell cell straight a squared plus straight b squared end cell end table space close square brackets plus open square brackets table row cell 2 ab end cell cell 2 bc end cell row cell negative 2 ac end cell cell negative 2 ab end cell end table close square brackets space space space space space space space space space space space space space equals open square brackets table row cell straight a squared plus straight b squared plus 2 ab end cell cell straight b squared plus straight c squared plus 2 bc end cell row cell straight a squared plus straight c squared minus 2 ac end cell cell straight a squared plus straight b squared minus 2 ab end cell end table close square brackets equals open square brackets table row cell left parenthesis straight a plus straight b right parenthesis squared end cell cell left parenthesis straight b plus straight c right parenthesis squared end cell row cell left parenthesis straight a minus straight c right parenthesis squared end cell cell left parenthesis straight a minus straight b right parenthesis squared end cell end table close square brackets

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