Question 109729
{{{20a^3-25a^2b+8ab^2-10b^3}}} Start with the given expression


{{{(20a^3-25a^2b)+(8ab^2-10b^3)}}} Group like terms



{{{5a^2(4*a-5*b)+2b^2(4*a-5*b)}}} Factor out the GCF of {{{5a^2}}} out of the first group. Factor out the GCF of {{{2b^2}}} out of the second group



{{{(5a^2+2b^2)(4*a-5*b)}}} Combine like terms


So {{{20a^3-25a^2b+8ab^2-10b^3}}} factors to {{{(5a^2+2b^2)(4*a-5*b)}}}