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

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 resolve into factors: p^2 + 31pq + 108q^2

Solve:- pq - q + 2p - 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)))

Using formula let's show that. (2p-q)^2 = (2p+q)^2 - 8pq

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

Tangent is drawn at any point (p ,q) on the parabola y^2=4a xdot Tangents are drawn from any point on this tangant to the circle x^2+y^2=a^2 , such that the chords of contact pass through a fixed point (r , s) . Then p ,q ,r and s can hold the relation (a) r^2q=4p^2s (b) r q^2=4p s^2 (c) r q^2=-4p s^2 (d) r^2q=-4p^2s

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

Let's find the product by successive multiplication____ (frac(2p^2)(q^2) + frac(5q^2)(p^2)) (frac(2p^2)(q^2) - frac(5q^2)(p^2))