The given expression is
[tex] (x-7)^2 [/tex]
which is equal to
[tex] (x-7)^2 = (x-7)* (x-7) [/tex]
Here we use distributive property ,
[tex] =x(x-7)-7(x-7) = x^2 -7x -7x+49 = x^2 -14x +49 [/tex]
Correct option is the first option .
We have to find the product
[tex] (x-7)^2 [/tex]
we can write it as
[tex] (x-7)(x-7) [/tex]
Now we have to apply the distributive property
=[tex] x(x-7)-7(x-7) [/tex]
= [tex] x^2 -7x -7x +49 [/tex]
= [tex] x^2 -14x +49 [/tex]
First option is the correct one