Question

Evaluate using algebraic formula:

`((0.68)^3 - (0.13)^3)/((0.68)^2 + (0.68 xx 0.13) + (0.13)^2`

Answer 1

Given expression: `((0.68)^3 - (0.13)^3)/((0.68)^2 + (0.68 xx 0.13) + (0.13)^2`

We know that,

a³ – b³ = a – ba² + ab + b²

Hence,

⇒ `((0.68 - 0.13)[(0.68)^2 + (0.68)(0.13) + (0.13)^2])/((0.68)^2 + (0.68)(0.13) + (0.13)^2)`

⇒ (0.68 – 0.13)

⇒ 0.55