Subjects algebra

Expression Equivalence 347D28

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1. **State the problem:** We want to find which expressions are equivalent to $$-2(2h+10)+4h$$. 2. **Apply the distributive property:** Multiply $$-2$$ by each term inside the parentheses: $$-2(2h+10) = -2 \times 2h + (-2) \times 10 = -4h - 20$$ 3. **Add the remaining term:** Now add $$4h$$ to the expression: $$-4h - 20 + 4h$$ 4. **Simplify by combining like terms:** Combine $$-4h$$ and $$4h$$: $$-4h + 4h = \cancel{-4h} + \cancel{4h} = 0$$ 5. **Final simplified expression:** $$0 - 20 = -20$$ 6. **Compare with given options:** - Option A: $$-20 - 4h + 4h$$ simplifies to $$-20$$, so it is equivalent. - Option B: $$-20$$ is exactly the simplified expression. - Option C: "None of the above" is incorrect because A and B are equivalent. **Answer:** Both A and B are equivalent to the original expression.