Question

Evaluate using algebraic formula:

`((0.78)^3 + (0.22)^3)/((0.78)^2 - (0.78 xx 0.22) + (0.22)^2)`

Answer 1

Given expression: `((0.78)^3 + (0.22)^3)/((0.78)^2 - (0.78)(0.22) + (0.22)^2)`

We know that,

a³ + b³ = a + ba² – ab + b²

Hence,

⇒ `[(0.78)^3 + (0.22)^3[(0.78)^2 - (0.78)(0.22) + (0.22)^2])/((0.78)^2 - (0.78)(0.22) + (0.22)^2`

⇒ (0.78 + 0.22)

⇒ 1