गुणनखंड करें।
`4((p^(2)-q^(2))/(r^(2)))^(2)- 13((p^(2)-q^(2))/(r^(2)))(a^(2)-b^(2))+ 10(a^(2)-b^(2))^(2)`

Factorise : (p^(2) + q^(2) - r^(2))^(2) - 4p^(2)q^(2) .

.prove that (a^(p+q))^(2)(a^(q+r))^(2)(a^(r+p))^(2)/((a^(p)*a^(q)*a^(r))^(4))=1

Find the value of (p^(2)+q^(2))/(r^(2)+s^(2)) , if p:q=r:s

If (p)/(a) + (q)/(b) + (r )/(c )=1 " & " (a)/(p) + (b)/(q) + (c )/(r )=0 find (p^(2))/(a^(2)) + (q^(2))/(b^(2)) + (r^(2))/(c^(2)) = ?

Find the value if (p^(2)+q^(2))/(r^(2)+s^(2)) if p:q: : r:s

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)

if q is the mean proportional between p and r , prove that : p^(2) - q^(2) + r^(2) = q^(4) ((1)/(p^(2))-(1)/(q^(2)) + (1)/(r^(2))) .

If vec P+vec Q=vec R and vec P-vec Q=vec S , then R^(2)+S^(2) is equal to (A) P^(2)+Q^(2) (B) 2(P^(2)-Q^(2)) (C) 2(P^(2)+Q^(2)) (D) 4PQ