Question: (-4+2)² = -4(4+1)
1. **State the problem:** Simplify and verify the equation $$(-4+2)^2 = -4(4+1)$$.
2. **Simplify the left side:** Calculate inside the parentheses first:
$$-4 + 2 = -2$$
Then square the result:
$$(-2)^2 = 4$$
3. **Simplify the right side:** Calculate inside the parentheses:
$$4 + 1 = 5$$
Multiply by $$-4$$:
$$-4 \times 5 = -20$$
4. **Compare both sides:**
Left side is $$4$$ and right side is $$-20$$.
5. **Conclusion:**
Since $$4 \neq -20$$, the equation $$(-4+2)^2 = -4(4+1)$$ is **false**.