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List of top Quantitative Aptitude Questions on Algebra asked in IBSAT

If a+b+c=11 and ab + bc + ca = 35, find the value of (a-b)2+(b-c)2+(c-a)2.
If (a,b) = \(a^2+b^2\) and g(a, b) = \(\frac{2}{b^2}\) \([a^2+b^2]\), then what is the value of f(6,3)-g(8,4)?