t^2+6t+9 please solve or factor?

t^2 + 6t + 9
= t^2 + 3t + 3t + 9
= (t^2 + 3t) + (3t + 9)
= t(t + 3) + 3(t + 3)
= (t + 3)(t + 3)
= (t + 3)^2

Recall a^2 +2ab+b^2 = (a+b)^2
Here a = t and b = 3
t^2+2*3*t+(3)^2 = (t+3)^2

( t + 3 ) ²