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 -

Factorise each of the following : 27p^(3) - (1)/(216)-(9)/(2)p^(2) + (1)/(4)p

if p= log_(6)216 and q = log_(3) 27 then p^(q) = ______

Factorize: 27p^(3)-(1)/(216)-(9)/(2)p^(2)+(1)/(4)p

If the roots of the equation x^(3) - px^(2) + qx - r = 0 are in A.P., then prove that, 2p^3 −9pq+27r=0

It is between 3 P.M. and 4 P.M. and the distance between the hour and the minute hand of clock is 18 minute spaces. What time does the clock show? (a) 3.12 P.M. (b) 3.27 P.M. (c) 3.31 P.M. (d) 3.36 P.M.