Let `a`, `b gt 0` satisfies `a^(3)+b^(3)=a-b`. Then

Let a, b, c in R be all non-zero and satisfy a^(3)+b^(3)+c^(3)=2 . If the matrix A=((a,b,c),(b,c,a),(c,a,b)) satisfies A^(T)A=I , then a value of abc can be :

A function a satisfies a (-2)=3 and a (3) =8.A function b satisfies b (3) =4 and b (7) =-2. What is the value of a (b(7)) ?

Let A = [(3,-1),(0,2)] . Suppose A satisfies the equation x^(2)+ax+b=0 for some real numbers a and b . Let alpha , beta be the roots of t^(2)+at +b=0 then (1)/(alpha^(2)-3alpha+4)+(1)/(beta^(2)-3alpha+4) = ________

Let a and b be relatively prime integers with a>b>0 and 3(a^(3)-b^(3))=73(a-b)^(3) .What is a-b ?