agar A+B+C =0 hua to 1/2A*A +BC+1/2B*B + CA+1/2C*C + AB=?​

Question

agar A+B+C =0 hua to 1/2A*A +BC+1/2B*B + CA+1/2C*C + AB=?​

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Iris 1 month 2021-08-13T02:31:24+00:00 1 Answer 0 views 0

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    2021-08-13T02:33:14+00:00

    Answer:

    since (a+b+c)=0

     ({a + b + c})^{2}= 0

    expanding

    (a + b + c )^{2}  = a ^{2}  + b ^{2}  + c {}^{2} + 2 ab + 2bc + 2ac

    dividing RHS by 2 and put (a+b+c)^2=0

     \frac{1}{2}  {a}^{2}  +  \frac{1}{2}  {b}^{2}  +  \frac{1}{2}  {c}^{2}  + ab + bc + ac = 0

    Value of given expression is 0.

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