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Multiple Choice Questions

If a b c 0 then the value of a2 b2 c2 a2 minus bc is ........

Quantitative Aptitude and Numerical Ability (DRDO) (Phase-i and II) Algebra

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If a+b+c=0 then the value of (a²+b²+c²)/(a²−bc) is,

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Explanation:

ensing that the denominator must be a factor of the numerator by noticing the nature of the choice values, we resort straightaway to algebraic manipulation of isolating the factor a²−bc in the numerator of the target expression.
Thus at the first step we get, numerator,
N=a²−bc+(b+c)²−bc
=a²−bc+(−a)²−bc
=a²−bc+a²−bc
=2(a²−bc)
With denominator (a²−bc) cancelling out against the numerator,
Target expression, E=2.