Answer:
A. x-6
Step-by-step explanation:
The area of a square is given by the expression [tex]x^2-12x+36[/tex] square inches. Now we need to find an expression that represents the length of one side of the square, in inches. To do that we need to factor [tex]x^2-12x+36[/tex].
[tex]x^2-12x+36[/tex]
[tex]=x^2-6x-6x+36[/tex]
[tex]=x(x-6)-6(x-6)[/tex]
[tex]=(x-6)(x-6)[/tex]
[tex]=(x-6)^2[/tex]
Since area of square is given by (side)^2
Hence one side of square is (x-6).
So choice A. x-6 is correct.
