If `x=3-2sqrt2` then find(i) `x^2-1/x^2`(ii)` x^2+1/x^2`(iii)`(x-1/x)^3`

If x=2sqrt(3)+2sqrt(2) , find : (i) 1/x" (ii) "x+1/x" (iii) "(x+1/x)^(2)

If x=3+2sqrt(2) , find : (i) (1)/(x) (ii) x-(1)/(x) (iii) (x-(1)/(x))^(3) (iv)x^(3)-(1)/(x^(3))

If x=3+2sqrt(2) , then find : (i)(1)/(x)" "(ii)x+(1)/(x)" "(iii)x-(1)/(x)" "(iv)x^(2)-(1)/(x^(2))

If x=3+2sqrt(2) , then find : (i)(1)/(x)" "(ii)x+(1)/(x)" "(iii)x-(1)/(x)" "(iv)x^(2)-(1)/(x^(2))

If x=2+sqrt(3) , then find : (i)(1)/(x)" "(ii)x+(1)/(x)" "(iii)x-(1)/(x)" "(iv)x^(2)+(1)/(x^(2))

If x=2+sqrt(3) , then find : (i)(1)/(x)" "(ii)x+(1)/(x)" "(iii)x-(1)/(x)" "(iv)x^(2)+(1)/(x^(2))

x=2sqrt(3)+2sqrt(2), find (i)(1)/(x)(ii)x+(1)/(x)(iii)(x+(1)/(x))^(2)

If x^(2)-2x+1=0 then find (i)x^(3)+(1)/(x^(3))(ii)x^(4)+(1)/(x^(4))(iii)x^(2)-(1)/(x^(2))(iv)x^(2)+(1)/(x^(2))

(i) (2x+3) (3x-5) (ii) x(1+x)^(3) (iii) (sqrtx + 1/x) (x -1/sqrtx) (iv) (x-1/x)^(2) (v) (x^(2) + 1/x^(2))^(3) (vi) (2x^(2) +5x-1) (x-3)

Write the coefficients of x^2 in each of the following:(i) 2+x^2+x (ii) 2-x^2+x^3 (iii) pi/2x^2+x (iv) sqrt(2)x-1