Algebra Examples

x^{3} - a^{3}

$x^{3} - a^{3}$

Step 1

Since both terms are perfect cubes, factor using the difference of cubes formula,

a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})

$a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})$ where

a = x

$a = x$ and

b = a

$b = a$ .

(x - a) (x^{2} + x a + a^{2})

$(x - a) (x^{2} + x a + a^{2})$