If `alpha,beta` are the roots of the quadratic equation `x^2 + ax + b = 0`, find the value of `(alpha^3-3)(beta^3-3)`

If alpha and beta are the roots of the quadratic equation x^2-4x-6=0 , find the values of alpha^3 + beta^3

If alpha, beta be the roots of the quadratic equation 3x^(2)-6x+4=0 , find the value of ((alpha)/(beta)+(beta)/(alpha))+2((1)/(alpha)+(1)/(beta))+3alpha beta :

If alpha,beta are the roots of the quadratic equation x^(2)+px+q=0 ,then the values of alpha^(3)+beta^(3)andalpha^(4)+alpha^(2)beta^(2)+beta^(4) are respectively .

If alpha,beta are the roots of the quadratic equation x^2+px+q=0 , then the values of alpha^3+beta^3 and alpha^4+alpha^2beta^2+beta^4 are respectively

If alpha and beta are the roots of the equation 3x^(2) - 5x + 2 = 0 , find the value of (i) (alpha)/(beta) + (beta)/(alpha) (ii) alpha-beta (iii) (alpha^(2))/(beta) + (beta^(2))/(alpha)

If alpha and beta are the roots of quadratic equation 2x^2+4x+3=0 , then the value of alpha+beta=.......

If alpha,beta are the roots of the quadratic equation 4x^(2)-4x+1=0 then alpha^(3)+beta^(3)=

If alpha,beta are the roots of the equation x^(2)+x+1=0 , find the value of alpha^(3)-beta^(3) .