Step 1 :Expand the given expression: $(x-7)^{2} = (x-7)(x-7)$
Step 2 :Multiply the terms: $(x-7)(x-7) = x^2 - 7x - 7x + 49$
Step 3 :Simplify the expression: $x^2 - 7x - 7x + 49 = x^2 - 14x + 49$
Step 4 :\(\boxed{x^2 - 14x + 49}\)