If `alpha and beta` are the roots of the equation `x^(2) -px +q =0`, then the value of αβ is

If tan alpha and tan beta are the roots of the equation x^(2) +px + q = 0 , then the value of sin^(2) (alpha +beta) + p cos (alpha + beta) sin (alpha + beta) + q cos^(2) (alpha + beta) is

If alpha and beta are the roots of the equation x^2-px + q = 0 then the value of (alpha+beta)x -((alpha^2+beta^2)/2)x^2+((alpha^3+beta^3)/3)x^3+... is

If alpha and beta are the roots of the equation x^2-px + q = 0 then the value of (alpha+beta)x -((alpha^2+beta^2)/2)x^2+((alpha^3+beta^3)/3)x^3+... is

If tan alpha tan beta are the roots of the equation x^2 + px +q =0(p!=0) then

If tan alpha tan beta are the roots of the equation x^(2)+px+q=0(p!=0) then

If alpha and beta are the roots of the equation x^(2)-px+q=0 then the value of (alpha+beta)x-((alpha^(2)+beta^(2))/(2))x^(2)+((alpha^(3)+beta^(3))/(3))x^(3)+ is

If alpha and beta are the roots of the equation x^(2) + px + q =0, then what is alpha ^(2) + beta ^(2) equal to ?