Answer:
C. [tex]x^2-6x+9[/tex]
Step-by-step explanation:
We have the expression [tex](x-3)^2[/tex] we can rewrite it as:
[tex](x-3)^2=(x-3)(x-3)[/tex] and solve it with distributive property or we can use the formula to multiply a binomial by itself. The formula is:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
or
[tex](a-b)^2=a^2-2ab+b^2[/tex]
Then:
[tex](x-3)^2=x^2-2.x.3+3^2\\(x-3)^2=x^2-6x+9[/tex]
The correct option is C. [tex]x^2-6x+9[/tex]
