Evaluate :

`3(q-2) = 2( q + 1 ) - 3`, find q

Find the value of a, if pq ^(2) a = (4pq + 3q) ^(2) - ( 4pq - 3q) ^(2)

Find the value of a, if pqa = (3p + q) ^(2) - (3p - q) ^(2)

If P (x) = (x ^(3) - 8) (x +1) and Q (x) = (x ^(3) +1) (x - 2), then find the LCM of P (x) and Q (x).

If p/q = ( 3/2 )^(-2 ) div ( 6/7 )^0 , find the value of ( p/ q )^(-3)

If (x-3) is a factor of x^(2)+q (where q inQ) , then find the remainder when (x^(2)+q) is divided by (x-2) .

If P (x) = (x^(3) -8) (x+1) and Q (x) = (x^(3) +1) (x-2) , then find the LCM of P(x) and Q (x) .

If (x-3) is the HCF of x^(3) - 2x^(2) +px + 6 and x^(2) - 5x +q, find 6p +5q

find the value of: (i) p+2q+3n ,when p=1,q=5" and "n=2

If p/q = ( -1 /3 )^-3 ÷ ( 2/3 )^-4 , find the value of ( p/q )^-1