Question

Expand: (x + 3)³.

Answer 1

(x + 3)³

We know that (a + b)³ = a³ + 3a²b + 3ab² + b³.

In the given example, a = x and b = 3.

∴ `(x + 3)^3 = (x)^3 + 3 xx x^2 xx 3 + 3 xx x xx (3)^2 + (3)^3`.

∴ `(x + 3)^3 = x^3 + 9x^2 + 27x + 27`.