1. The problem is to simplify the expression $^{(x-4)2}$. 2. This expression appears to be ambiguous or incorrectly formatted. If you meant $(x-4)^2$, it represents the square of the binomial $(x-4)$. 3. The formula for squaring a binomial is $$(a-b)^2 = a^2 - 2ab + b^2$$ where $a = x$ and $b = 4$. 4. Applying the formula: $$(x-4)^2 = x^2 - 2 \times x \times 4 + 4^2$$ 5. Simplify the terms: $$x^2 - 8x + 16$$ 6. Therefore, the simplified form of $(x-4)^2$ is $$x^2 - 8x + 16$$. 7. If the original expression was different, please clarify the notation.