Question 104047
For you to understand the solution, see the lesson, "Factoring trinomials: SHORTCUT!!!"



If we let {{{4t^2+20t+25=0}}},

{{{t=-5/4}}}
{{{4t=-5}}}
{{{4t+5=0}}}

This is a PERFECT SQUARE!!!

Therefore,

{{{4t^2+20t+25=(4t+5)^2}}}