For this case we must factor the following expression:
[tex]x ^ 2-6x + 9[/tex]
We must find two numbers that, when multiplied, result in 9 and when added, result in -6.
These numbers are -3 and -3.
[tex]-3-3 = -6\\-3 * -3 = + 9[/tex]
Then, the factored expression is of the form:
[tex](x-3) (x-3) = (x-3) ^ 2[/tex]
Thus, the correct option is option C.
ANswer:
Option C
