(iii)` (x+(2)/(x))^(3)+(x-(2)/(x))^(3)`

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)x^(2)-(1)/(x^(2))(ii)x^(2)+(1)/(x^(2))(iii)(x-(1)/(x))^(3)

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

Write the following squares of binomials as trinomials: (x+(x^2)/2)^2 (ii) (x/4-y/3) (iii) (3x-1/(3x))^2 (iv) (x/y-y/x)^2

Check whether the following are quadratic equation (i) (x+1)^2=2(x-3) (ii) x^2-2x=(-2)(3-x) (iii) (x-2)(x+1)=(x-1)(x+3) (iv) (x-3)(2x+1)=x(x+5) (v) (2x-1)(x-3)=(x+5)(x-1) (vi) x^2+3x+1=(x-2)^2 (vii) (x+2)^3=2x(x^2-1) (viii) x^3-4x^2 – x + 1 = (x – 2)^3

Check whether the following are quadratic equation (i) (x+1)^2=2(x-3) (ii) x^2-2x=(-2)(3-x) (iii) (x-2)(x+1)=(x-1)(x+3) (iv) (x-3)(2x+1)=x(x+5) (v) (2x-1)(x-3)=(x+5)(x-1) (vi) x^2+3x+1=(x-2)^2 (vii) (x+2)^3=2x(x^2-1) (viii) x^3-– 4x^2 – x + 1 = (x – 2)^3

(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)

Check whether the following are quadratic equations: (i) quad (x-2)^(2)+1=2x-3 (ii) x(x+1)+8=(x+2)(x-2) (iii) quad x(2x+3)=x^(3)+1quad (x+2)^(3)=x^(3)-4

Find the term independent of x in the expansion of : (i) (2x+1/(3x^(2)))^(9) (ii) ((3x^(2))/2-1/(3x))^(6) (iii) (x-1/x^(2))^(3n) (iv) (3x-2/x^(2))^(15)