If `alpha` and `beta` (`alpha

The expression (tan alpha+tan beta)cot(alpha+beta)+(tan alpha-tan beta)cot(alpha-beta) is independent of both alpha and beta.

| alpha alpha1 beta F|=(alpha-P)(beta-alpha)

If alpha and beta are the zeroes of the polynomial x^(2)+4x-77, then the quadratic polynomial whose zeroes are (alpha+2 beta)/(alpha+beta) and (2 alpha+beta)/(alpha+beta) can be equal to

If alpha and beta are the zeros of the quadratic polynomial f(x)=2x^(2)+bx+c ,then evaluate: a[(alpha^(2))/(beta)+(beta^(2))/(alpha)]+b[(alpha)/(beta)+(beta)/(alpha)]

If the polynomial x^2+3x+5 has roots alpha and beta then alpha/beta+beta/alpha

If alpha and beta are the roots of the equation x^(2)+bc+c=0, where c

If alpha and beta are the zeros of the quadratic polynomial f(x)=ax^(2)+bx+c, then evaluate: (i) (beta)/(a alpha+b)+(alpha)/(a beta+b) (ii) a((alpha^(2))/(beta)+(beta^(2))/(alpha))+b((alpha)/(beta)+(beta)/(alpha))