" Factorize ":p^(3)(q-r)^(3)+q^(3)(r-p)^(3)+r^(3)(p-q)^(3)

Factorise : p^(3)(q-r)^(3)+q^(3)(r-p)^(3)+r^(3)(p-q)^(3)

Factorise : (p-q)^(3)+(q-r)^(3)+(r-p)^(3)

Factorise (p-q)^3+(q-r)^3+(r-p)^3 .

If p.q,r are distinct,then (q-r)x+(r-p)y+(p-q)=0 and (q^(3)-r^(3))x+(r^(3)-p^(3))y+(p^(3)-q^(3))=0 represents the same line if

If p+q+r=9 then (3-p)^(3)+(3-q)6(3)+(3-r)^(3) is :

If alpha,beta are the roots of the equation x^(2)+px-r=0 and (alpha)/(3),3 beta are the roots of the equation x^(2)+qx-r=0, then r equals (i)((3)/(8))(p-3q)(3p+q)(ii)((3)/(8))(3p-q)(3p+q)(iii)((3)/(64))(q-3p)(p-3p)(iv)((3)/(64))(p-q)(q-3p)

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)