Question 244501
Factor:
{{{4m^5+500m^2}}} First, you'll notice that each term has a common factor of {{{4m^2}}} which can be factored out.
{{{4m^2(m^3+125)}}} Now you'll notice that the parentheses contain a sum of two cubes which can also be factored thus: {{{A^3+B^3 = (A+B)(A^2-AB+B^2)}}}, so we have:
{{{highlight(4m^2(m+5)(m^2-5m+25))}}}