1. **State the problem:** We are asked to identify which of the three distributed expressions is incorrect and to rewrite it correctly. 2. **Recall the distributive property:** The distributive property states that for any numbers $a$, $b$, and $c$: $$a(b + c) = ab + ac$$ 3. **Check each expression:** - First rectangle: $4(12w + 15)$ - Distribute 4: $$4 \times 12w = 48w$$ $$4 \times 15 = 60$$ - Sum: $$48w + 60$$ - Given answer: $48w + 60$ (Correct) - Second rectangle: $6(3 + 2g)$ - Distribute 6: $$6 \times 3 = 18$$ $$6 \times 2g = 12g$$ - Sum: $$18 + 12g$$ - Given answer: $18 + 12g$ (Correct) - Third rectangle: $7(9 - 8k)$ - Distribute 7: $$7 \times 9 = 63$$ $$7 \times (-8k) = -56k$$ - Sum: $$63 - 56k$$ - Given answer: $63 - 8k$ (Incorrect) 4. **Rewrite the incorrect expression correctly:** $$7(9 - 8k) = 63 - 56k$$ **Final answer:** The third expression is distributed incorrectly. The correct distribution is: $$7(9 - 8k) = 63 - 56k$$