If `p = 3^2000 + 3^(–2000)` and `q = 3^2000 - 3^(-2000)`, then the value of `p^2 - q^2` is (1) 3 (2) 4 (3) 1 (4) 2

If 2p + 3q = 12 and 4p^(2) + 4pq - 3q^(2) = 126 , then what is the value of p + 2q ?

if 2^(p)+3^(q)=17 and 2^(p+2)-3^(q+1)=5 then find the value of p&q

If 2^(P)+3^(q)=17and2^(P+2)-3^(q+1)=5 , then find the value of p and q.

If p = -2, q = - 1 and r = 3, find the value of (i) p^(2) + q^(2) - r^(2) (ii) 2p^(2) - q^(2) + 3r^(2) (iii) p - q - r (iv) p^(3) + q^(3) + r^(3) + 3 pqr (v) 3p^(2) q + 5pq^(2) + 2 pqr (vi) p^(4) + q^(4) - r^(4)

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

Find the value of 2p^2q-3pq^2+2p-3p+1 when p=3,q=-3

If p = 4,q = 3 and r = -2, find the values of : (3pq+2qr^(2))/(p+q-r)

Let P and Q be 3xx3 matrices with P!=Q . If P^3=Q^3 and P^2Q=Q^2P , then determinant of (P^2+""Q^2) is equal to (1) 2 (2) 1 (3) 0 (4) 1