1. **State the problem:** You asked how we got the 4 inside the expansion of $(x - 2)^2$.
2. **Recall the binomial square formula:**
$$(a - b)^2 = a^2 - 2ab + b^2$$
3. **Apply the formula to $(x - 2)^2$:**
Here, $a = x$ and $b = 2$.
$$ (x - 2)^2 = x^2 - 2 \times x \times 2 + 2^2 $$
4. **Calculate each term:**
$$ x^2 - 4x + 4 $$
5. **Explanation:** The last term $4$ comes from squaring $2$, i.e., $2^2 = 4$.
So, the $4$ is the square of the number $2$ in the binomial expansion.
Binomial Expansion 45A336
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.