Question 317056
{{{4m+n+16m^2-n^2}}} Start with the given expression



{{{4m+n+(4m+n)(4m-n)}}} Factor {{{16m^2-n^2}}} to get {{{(4m+n)(4m-n)}}}



{{{(4m+n)(1+4m-n)}}} Factor out the GCF {{{4m+n}}}



So {{{4m+n+16m^2-n^2}}} factors to {{{(4m+n)(1+4m-n)}}}



In other words, {{{4m+n+16m^2-n^2=(4m+n)(1+4m-n)}}}