Question: User: $(x-4)^2$
1. **State the problem:** Simplify the expression $$(x-4)^2$$.
2. **Recall the formula:** The square of a binomial is given by $$ (a-b)^2 = a^2 - 2ab + b^2 $$.
3. **Apply the formula:** Here, $a = x$ and $b = 4$, so
$$ (x-4)^2 = x^2 - 2 \times x \times 4 + 4^2 $$.
4. **Calculate each term:**
$$ x^2 - 8x + 16 $$.
5. **Final answer:** The simplified form of $$(x-4)^2$$ is
$$ x^2 - 8x + 16 $$.
This means when you square the binomial $(x-4)$, you get a quadratic expression with these terms.