Expand `3sqrt3` in increasing power of `2/3`

Expand 5sqrt5 in increasing power of 4/5

If (x-4)/(x^(2)-5x+6) can be expanded in the ascending powers of x , then the coefficient of x^(3) is

Expand (1+x)^-3 .

if sqrt2=1.414and sqrt3=1.732 then find the value of 4/(3sqrt3-2sqrt2)+3/(3sqrt3+2sqrt2)

Expand (1+ 2 x + 3x^(2) )^(n) in a series of ascending powers of x up to and including the term in x^2 .

Expand : (3x - 2y)^3

Expand : (a-2b)^3

Expand : (5x +3y)^3

Three numbers form an increasing G.P. If the middle number is doubled, then the new numbers are in A.P. The common ratio of the G.P. is (A) 2-sqrt(3) (B) 2+sqrt(3) (C) sqrt(3)-2 (D) 3+sqrt(2)

Expand (3x^2- x/2)^5