Question 770204
{{{(2x-3)(1-3x)(1+3x)}}}


The item is picked to use the difference of squares as part of the intermediate work.  You equivalently have {{{(2x-3)(1-9x^2)}}}; then use distributive property or the lattice method if you prefer:


{{{2x*1-2x*9x^2-3*1+3*9x^2}}}
{{{2x-18x^3-3+27x^2}}}
{{{highlight(-18x^3+27x^2+2x-3)}}}