Respuesta :

C.

The middle term would contain two -3x terms, which when added will give you -6x. Also, the positive 9 is due to two -3s being multiplied together

Answer:

Option C is correct

Step-by-step explanation:

Given the expression [tex](x-3)^2[/tex]. we have to simplify the given expression and choose the equivalent expression from the given options.

Expression: [tex](x-3)^2[/tex]

Using the identity

[tex](a-b)^2=a^2+b^2-2ab[/tex]

Put a=x and b=3, we get

[tex](x-3)^2=x^2+3^2-2(x)(3)[/tex]

            [tex]=x^2+9-6x[/tex]

⇒ [tex](x-3)^2=x^2-6x+9[/tex]

Hence, option C is correct