Solve (a-3)^(3)-(a^3)^(3)

Evaluate

(a - 3)^{3} - (a^{3})^{3}

Evaluate

More Steps

(a - 3)^{3} - a^{9}

Use a^{3} - b^{3} = (a - b) (a^{2} + ab + b^{2}) to factor the expression

(a - 3 - a^{3}) ((a - 3)^{2} + (a - 3) a^{3} + a^{6})

Evaluate

(a - 3 - a^{3}) ((a - 3)^{2} + a^{3} (a - 3) + a^{6})

Solution

More Steps

(a - 3 - a^{3}) (a^{2} - 6 a + 9 + a^{4} - 3 a^{3} + a^{6})

Simplify the expression