Divide
`- 80p^(3)q by -30 pq^(3)`

Divide -24p^(5)q^(2) " by " 16pq^(4)

Divide 30x^(2)y^(3)z by -3xyz

Divide (i) 3 by 8 (ii) 3 by 80

Find the G.P. between the numbers . 1 and (4)/(25) " " (ii) p^(3)q and pq^(3) , p q gt 0

Write down the algebraic expressions whose terms are : -7pq^(3),2p^(2)q, -3p^(5), 7r^(2), -(2)/(3) pqr+5

Find the product of : 4/25 p^(2) q^(2) and -7 9/13 pq^(3)

If q is the mean proportional between p and r , show that : pqr (p + q + r)^(3) = (pq + qr + pr)^(3) .

Find the excess of 4p^(2)-2pq +3q^(2) over 2p^(2)-pq +4q^(2) .

Multiply : 5p^(2) + 25pq + 4q^(2) by 2p^(2) - 2pq + 3q^(2)

If A is the arithmetic mean and p and q be two geometric means between two numbers a and b, then prove that : p^(3)+q^(3)=2pq " A"