Answer
$(s-10)^{2}$
Work Step by Step
$s^{2}-20s+100=$
...write last term as a square.
$=s^{2}-20s+10^{2}$
...does middle term equal $2ab$?
$-20s=-2(s)(10)$
yes,
$=s^{2}-2(s)(10)+10^{2}$
...write as the square of a binomial.
$=(s-10)^{2}$