If `alpha,beta` are roots of `x^2-px+q=0` then find the quadratic equation whose roots are `((alpha^2-beta^2)(alpha^3-beta^3))` and `alpha^2beta^3+alpha^3beta^2`

If alpha,beta are roots of x^(2)-px+q=0 then find the quadratic equation whose roots are ((alpha^(2)-beta^(2))(alpha^(3)-beta^(3))) and alpha^(2)beta^(3)+alpha^(3)beta^(2)

If alpha, beta are the roots of the equation x^2-bx+c=0 then find the equation whose roots are (alpha^2+beta^2)(alpha^3+beta^3) and alpha^5 beta^3+alpha^3beta^5-2alpha^4beta^4

If alpha,beta are roots of equation x^(2)-px+q=0 find the equation whose roots are (alpha^(2)-beta^(2))(alpha^(3)-beta^(3)) and alpha^(3)beta^(2)+alpha^(2)beta^(3)

If alpha, and beta are the roots of x^(2)+px+q=0 form a quadratic equation whose roots are (alpha-beta)^(2) and (alpha+beta)^(2) .

If alpha, and beta are the roots of x^(2)+px+q=0 form a quadratic equation whose roots are (alpha-beta)^(2) and (alpha+beta)^(2) .

if alpha,beta are roots of x^(2)+4x+3 then find quadratic equation whose roots are 1+(alpha)/(beta) and 1+(beta)/(alpha)

If alpha,beta are the roots of x^(2)-px+q=0 then the equation whose roots are alpha beta+alpha+beta,alpha beta-alpha-beta

If alpha , beta be the roots of the equation x^2-px+q=0 ,form the quadratic equation whose roots are 2alpha-beta , 2beta-alpha