Question 115115

{{{mn-5n^2-m+5n}}} Start with the given expression


{{{(mn-5n^2)+(-m+5n)}}} Group like terms



{{{n(m-5n)-1(m-5n)}}} Factor out the GCF of {{{n}}} out of the first group. Factor out the GCF of {{{-1}}} out of the second group



{{{(n-1)(m-5n)}}} Since we have a common term of {{{m-5n}}}, we can combine like terms


So {{{mn-5n^2-m+5n}}} factors to {{{(n-1)(m-5n)}}}