`(p^(2)-p)/(2p^(3)+p^(2))+(p^(2)-1)/(p^(2)-3p)+(p^(2))/(p+1)` का साधारणीकृत मान क्‍या है?

p_(1)p_(2)p_(3)=

If ((p^-1 q^2)/(p^3 q^-2))^(1/3) div ((p^6 q^-3)/(p^-2 q^3))^(1/3) =p^a q^b , then the value of a+b where p and q are different positive primes is- यदि ((p^-1 q^2)/(p^3 q^-2))^(1/3) div ((p^6 q^-3)/(p^-2 q^3))^(1/3) =p^a q^b है, तो a+b का मान क्या है जिसमें p और q विभिन्न धनात्मक अभाज्य है?

4p−(3p−1​)=1−(2p−2​)

If each pair of the three equations x^(2) - p_(1)x + q_(1) =0, x^(2) -p_(2)c + q_(2)=0, x^(2)-p_(3)x + q_(3)=0 have common root, prove that, p_(1)^(2)+ p_(2)^(2) + p_(3)^(2) + 4(q_(1)+q_(2)+q_(3)) =2(p_(2)p_(3) + p_(3)p_(1) + p_(1)p_(2))

If (2p)/(p^(2)-2p+1)=(1)/(4),p!=0, then the value of p+(1)/(p)

(2p+1)sin alpha=2p(p+1)cos alpha rArr sin alpha= 1) (2p+1)/(2p^(2)+2p+1) 2(2p+3)/(2p^(2)+2p+1)3)(2p(p+1))/(2p^(2)+2p+1)4)1

Let p_(1),p_(2),...,p_(n) and x be distinct real number such that (sum_(r=1)^(n-1)p_(r)^(2))x^(2)+2(sum_(r=1)^(n-1)p_(r)p_(r+1))x+sum_(r=2)^(n)p_(r)^(2)<=0 then p_(1),p_(2),...,p_(n) are in G.P.and when Statement 2: If (p_(2))/(p_(1))=(p_(3))/(p_(2))=...=(p_(n))/(p_(n-1)), then p_(1),p_(2),...,p_(n) are in G.P.