Question

विस्तार करा.

`(x + 1/x)^3`

Answer 1

a = x, b = `1/x`

आपल्याला ठाऊक आहे कि,

(a + b)³ = a³ + 3a²b + 3ab² + b³

∴ `(x + 1/x)^3 = x^3 + 3(x)^2(1/x) + 3(x)(1/x)^2 + (1/x)^3`

= `x^3 + 3x^2 xx 1/x + 3x xx 1/x^2 + 1/x^3`

= `x^3 + 3x + 3/x + 1/x^3`

∴ `(x + 1/x)^3 = x^3 + 3x + 3/x + 1/x^3`