Question 1194584
you have {{{(1/2)(m+1)(3m + 2) + (3m+4)}}} to simplify and see which of following is simplified form

{{{(1/2)(m+1)(3m + 2) + (3m+4)}}}........multiply {{{(1/2)(m+1)(3m + 2) }}}

{{{(1/2)(3m^2 + 5m + 2) + (3m+4)}}}

{{{3m^2/2 + 5m/2 + 2/2 + 3m+4}}}

{{{(3m^2)/2 + (11m)/2 + 5}}}

{{{(3m^2)/2 + (11m)/2 + 10/2}}}

{{{(1/2)(3m^2 + 11m + 10)}}}.........factor {{{3m^2 + 11m + 10}}}

{{{(1/2)(3m + 5)(m + 2)}}}=> your answer

and, you already did it by your self

1/2 (m+1)(3m + 2) + (3m+4)
=1/2 [(m+1)(3m+2) + 2(3m+4)]
=1/2 [(m+1)(3m+2) + 6m+8]
=1/2 [(m+1)(3m+2)+(3m+2)+(3m+6)]
=1/2 [(m+2)(3m+2)+3(m+2)]
={{{(1/2 )(m+2)(3m+5)}}}-> you needed to stop here