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write the degree of the polynomial p^(2)...

write the degree of the polynomial `p^(2)q^(3)+p^(3)q^(2)-p^(3)q^(3)`.

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Degree=6
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(P ^ (2) - (3) / (2) q (2)) ^ (3)

If one root is square of the other root of the equation x^(2)+px+q=0, then the relation between p and q is p^(3)-q(3p-1)+q^(2)=0p^(3)-q(3p+1)+q^(2)=0p^(3)+q(3p-1)+q^(2)=0p^(3)+q(3p+1)+q^(2)=0

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Verify that (p-q) ( p ^(2) + pq + q ^(2)) = p ^(3) - q ^(3)

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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)

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)