`|[(x-2)^(2), (x-1)^(2), x^(2)], [(x-1)^(2), x^(2), (x+1)^(2)],[x^(2), (x+1)^(2), (x+2)^(2)]|+P^(3)=0 `the value of `P` is

If (3x+(1)/(2))(3x-(1)/(2))=9x^2-p then the value of p is

(x^(2))/((x+1)^(2))+((x+1)^(2))/(x^(2))-(x)/(x+1)+(x+1)/(x)-(7)/(4)=p^(2)

(x^(2))/(x+1)+((x+1)^(2))/(x^(2))-(x)/(x+2)+(x+1)/(x)-(7)/(4)=p^(2)

If x^(2)+3x+1=0 then find x^(3)+(1)/(x^(3)),x^(4)+(1)/(x^(4)),x^(2)-(1)/(x^(2)),x^(2)+(1)/(x^(2))

(1+x^(2))^(2)(1+x)^(n)=A_(0)+A_(1)x+A_(2)x^(2)+... If A_(0),A_(1),A_(2) are in A.P.then the value of n is-

If 1+x+x^(2)+....+x^(p)=(1+x)(1+x^(2))(1+x^(4))(1+x^(8)) then find the value of p

Let (1 + x^(2))^(2) (1 + x)^(n) = a_(0) + a_(1) x + a_(2) x^(2) + … if a_(1),a_(2) " and " a_(3) are in A.P , the value of n is

If |{:(x^(2) +x , 3x - 1 , -x + 3),(2x +1 , 2 + x^(2) , x^(3) - 3),(x - 3, x^(2) + 4, 3x):}| = a_(0) + a_(1) x + a_(2) x^(2) + .... + x_(7) x^(7), then the value of a_(0) is

If p^(2)+q^(2)+r^(2)=-2 and g(x)=|[1+p^(2)x,(1+q^(2))x,(1+r^(2))x],[(1+p^(2))x,1+q^(2)x,(1+r^(2))x],[(1+p^(2))x,(1+q^(2))x,1+r^(2)x]|=?