Answer
$(t+1)(t^2-t+1)$
Work Step by Step
RECALL:
A sum of two cubes can be factored using the formula
$A^3+B^3=(A+B)(A^2-AB+B^2)$
The given binomial can be written as:
$=t^3+1^3$
The binomial is a sum of two cubes.
Factor using the formula above with $A=t$ and $B=1$ to obtain:
$=(t+1)(t^2-(t)(1)+1^2)
\\=(t+1)(t^2-t+1)$