Question

विस्तार करा.

`(2m + 1/5)^3`

Answer 1

Here, a = 2m, b = `1/5`

आपल्याला ठाऊक आहे कि,

(a + b)³ = a³ + 3a²b + 3ab² + b³

∴ `(2m + 1/5)^3 = (2m)^3 + 3(2m)^2(1/5) + 3(2m)(1/5)^2 + (1/5)^3`

= `2^3m^3 + 3/5(2^2 m^2) + 6m xx 1^2/5^2 + 1^3/5^3`

= `8m^3 + 12/5 m^2 + (6m)/25 + 1/125`

∴ `(2m + 1/5)^3 = 8m^3 + 12/5 m^2 + 6/25m + 1/125`