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If a+b=z, c+a=y, b+c=x, x^(2)+y^(2)+z^(2...

If `a+b=z, c+a=y, b+c=x, x^(2)+y^(2)+z^(2)=50` and `xy+yz+zx=47` then find the value of `a^(2)+b^(2)+c^(2)+ab+bc+ca`.

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LUCENT PUBLICATION-ALGEBRAIC IDENTITIES -Exercise - 1B
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  7. If 2a-(2)/(a)+3=0, then value of (a^(3)-(1)/(a^(3))+2) is -

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  8. If factors of x^(3)+(a+1) x^(2)-(b-2)x -6 are (x+1) and (x-2) then val...

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  15. If x = sqrt(a) + (1)/( sqrt(a)) , y = sqrt(a) - (1)/( sqrt(a)) ( a gt...

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  18. If a, b, c are real, a^(3)+b^(3)+c^(3)=3abc and a+b+c ne 0, then relat...

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  19. If a^(2)+(1)/(a^(2))=98, a gt 0 , then the value of a^(3)+(1)/(a^(3)) ...

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  21. If a ^(2) + b ^(2) + c ^(2) = 2 (a - b -c) - 3, then the value of 2a -...

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