Find the product:-
`(p^3 - p^2q^2 + q^3)(p^2 + pq + q^2)`

Let's find the product of the following algebraic expression with the help of the identity (p-2q)(p^2 + 2pq + 4q^2)

Let's prove (p+q)^4 - (p-q)^4 = 8pq(p^2 + q^2)

Let's resolve into factors: (p^2 - 3q^2)^2 - 16 (p^2 - 3q^2) + 63

Let 's subtract. (2q^2 + 3p^2 - qp + pq^2) From (p^2 + q^2 - pq + p^2q) .

Let's express the following in the product from using formula. (m+p+q)^2 - (m-p-q)^2

Solve:- (p^2q^2r^4 - p^3q^5r^3 + p^5q^3r^2) div p^2q^2r^2

Multiply the polynomials: (2pq + 3q^2) and (3pq – 2q^2)

Solve:- pq - q + 2p - 2

If two distinct chords, drawn from the point (p, q) on the circle x^2+y^2=p x+q y (where p q!=q) are bisected by the x-axis, then (a) p^2=q^2 (b) p^2=8q^2 p^2 8q^2

If the ratio of A.M. of two numbers x and y to their G.M. is p : q, show that, x : y = (p + sqrt(p^(2) - q^(2))) : (p- sqrt(p^(2) - q^(2)))