द्विआधारी संक्रियाओं `** R xxtoR ` तथा `oR xxR to R ` निम्न प्रकार परिभाषित है ` a**b =[ a-b | ` तथा ` aob =a AA ab inR ` सिद्ध कीजिए की `a**(boc ) = (a**b) o ( a**c) AAabc in R `

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1.	द्विआधारी संक्रियाओं `: R xxtoR ` तथा `o:R xxR to R ` निम्न प्रकार परिभाषित है ` ab =[ a-b \| ` तथा ` aob =a AA a,b inR ` सिद्ध कीजिए की `a(boc ) = (ab) o ( a**c) AAa,b,c in R `
Answer» प्रश्नानुसार `" "ab= \| a-b\|AAa,b,in R ` तथा ` " "aob =a AAa,b in R ` अब ` a(boc ) =ab " "[ because boc =b ] ` ` " " = \|a-b\| ` तथा ` (ab) o ( ac) =(ab) " "(because aob =a ) ` ` " " = \| a-b \| " "...(2) ` अतः समीकरण (1 ) व (2 ) से ` a (boc )= (ab) o (a**c) AAa,b,c in R `

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