Question

Expand (x/2-3/x)3
Please give answer and explanation on how to do it. The three at the end is the cube

Answer 1

Step-by-step explanation:

solving it by the formula (a-b)^3

Answer 2

Step-by-step explanation:

(a - b)^3 = a^3 + 3ab(b-a) - b^3

(x/2 - 3/x)^3 =

(x/2)^3 + 3(x/2)(3/x)[3/x - x/2] - (3/x)^3

= (x^3)/8 + (9/2)[(3x - x^2)/2x] - 27/(x^3)

= (x^3)/8 + (9/2)[(3 - x)/2] - 27/(x^3)

= (x^3)/8 + [(27-9x)/4] - 27/(x^3)

= {4(x^6) + 8(x^3)[27 - 9x] - 864}

If you can try to factorise this equation then it's fine. I don't know how to factorise this but I tried for so much time.