Question

विस्तार करा.

`(x/3 - 3/x)^3`

Answer 1

`(x/3 - 3/x)^3`

(a − b)³ = a³ − 3a²b + 3ab² − b³

= `(x/3)^3 - 3 xx (x/3)^2 xx (3/x) + 3 xx (x/3) xx (3/x)^2 - (3/x)^3`

= `(x^3)/27 - 3 xx (x^2)/9 xx 3/x + 3 xx x/3 xx 9/(x^2) - 27/(x^3)`

= `(x^3)/27 - (3x)/9 xx 3/1 + 3/3 xx 9/x - 27/(x^3)`

= `(x^3)/27 - (3x)/3 + 9/x - 27/(x^3)`

= `(x^3)/27 - x + 9/x - 27/(x^3)`