Solve 8x^6 (a-x)^3

Evaluate

8 x^{6} (a - x)^{3}

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

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

Apply the distributive property

8 x^{6} a^{3} - 8 x^{6} \times 3 a^{2} x + 8 x^{6} \times 3 a x^{2} - 8 x^{6} \times x^{3}

Multiply the terms

More Steps

8 x^{6} a^{3} - 24 x^{7} a^{2} + 8 x^{6} \times 3 a x^{2} - 8 x^{6} \times x^{3}

Multiply the terms

More Steps

8 x^{6} a^{3} - 24 x^{7} a^{2} + 24 x^{8} a - 8 x^{6} \times x^{3}

Solution

More Steps

8 x^{6} a^{3} - 24 x^{7} a^{2} + 24 x^{8} a - 8 x^{9}

Simplify the expression