" (ii) "(p+q)^(2)-2 alpha(p+q)-125

Factorize (p+q)^2-20 (p+q)-125 .

5pq(p^2 - q^2) -: 2p(p+q)

sin alpha =(2pq)/(p^2+q^2) => sec alpha - tan alpha= .......... A) (p-q)/(p+q) B) (pq)/(p^(2) +q^(2)) C) (p+q)/(p-q) D) (pq)/(P+q)

Co-efficient of alpha^(t) in thet expansion of (alpha+p)^(m-1)+(alpha+p)^(m-2)(alpha+q)+(alpha+p)^(m-3)(alpha+q)^(2)+alpha+q where alpha!=-q and p!=q is :

Coefficient of alpha^(t) in the expansion of (alpha+p)^(m-1)+(alpha+p)^(m-2)(alpha+q)+(alpha+p)^(m-3)(alpha+q)^(2)+…….+(alpha+q)^(m-1) , where alpha ne -q and p ne q is

Co-efficient of alpha^t in thet expansion of (alpha+p)^(m-1)+(alpha+p)^(m-2)(alpha+q)+(alpha+p)^(m-3)(alpha+q)^2+dot(alpha+q)^(m-1) where alpha != -q and p !=q is :

Show that the sequence (p + q)^(2), (p^(2) + q^(2)), (p-q)^(2) … is an A.P.

Show that the sequence (p + q)^(2), (p^(2) + q^(2)), (p-q)^(2) … is an A.P.

Q.Let p and q real number such that p!=0p^(2)!=q and p^(2)!=-q. if alpha and beta are non-zero complex number satisfying alpha+beta=-p and alpha^(3)+beta^(3)=q then a quadratic equation having (alpha)/(beta) and (beta)/(alpha) as its roots is