Question 121495
{{{125a^3 - 8b^3}}}

{{{5^3a^3- 2^3b^3}}}


{{{ (5a)^3 - (2b)^3 }}}.........use general rule to factor the difference of cubes: {{{ highlight(x^3-y^3=(x - y)(x^2 + xy + y^2)) }}}.........


{{{ (5a - 2b)((5a)^2 + 5a(- 2b) +(- 2b)^2) }}}.........


{{{ (5a - 2b)((5a)^2 - 10ab  + (-2b)^2) }}}.........since the quadratic 


{{{((5a)^2 - 10ab  + (-2b)^2)}}} cannot be factored further, your answer is:


{{{ highlight((5a - 2b)((5a)^2 - 10ab  + (-2b)^2)) }}}.........