" 1."p^(3)+27

Factorize: p^(3)+27

Suppose E_(1), E_(2), E_(3) be three mutually exclusive events such that P(E_(i))=p_(i)" for " i=1, 2, 3 If p_(1), p_(2), p_(3) are the roots of 27x^(3) -27x^(2)+ax-1=0 the value of a is -

If x = [-(q)/(2) + sqrt((q^(2))/(4) + (p^(3))/(27))]^((1)/(3)) + [-(q)/(2) - sqrt((q^(2))/(4) + (p^(3))/(27))]^((1)/(3)) then prove that x^(3) + pq + q = 0

Let p= 3^(1//3) .3^(2//9).3^(3//27) ….oo then p^(1//3) =

Let A, B and C be three mutually exclusive events such that P(A) = p_(1), P(B) = p_(2) " and " P( C) = p_(3) . Then, Let p_(1), p_(2), " and " p_(3) are roots of 27x^(3)-27x^(2)+ax-1=0 , then value of a is