Question 156947
{{{2x^2(p + q^3) - (p + q^3)}}} Start with the given expression



{{{2x^2z - z}}} Let {{{z=p + q^3}}} and replace {{{p + q^3}}} with "z"



{{{z(2x^2 - 1)}}} Factor out the GCF {{{z}}}



{{{(p + q^3)(2x^2 - 1)}}} Plug in {{{z=p + q^3}}}



So {{{2x^2(p + q^3) - (p + q^3)}}} factors to {{{(p + q^3)(2x^2 - 1)}}}




Note: you can avoid using an extra variable, but it might help simplify things.