Subjects algebra

Distributive Property 7311Ee

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1. **State the problem:** Find an equivalent expression for $g^2 (7 + h)$ using the Distributive Property. 2. **Recall the Distributive Property:** For any numbers or variables $a$, $b$, and $c$, the property states: $$a(b + c) = ab + ac$$ This means you multiply $a$ by each term inside the parentheses separately. 3. **Apply the property:** Here, $a = g^2$, $b = 7$, and $c = h$. So, $$g^2 (7 + h) = g^2 \times 7 + g^2 \times h$$ 4. **Simplify the expression:** $$= 7g^2 + g^2 h$$ 5. **Final answer:** The equivalent expression is $$7g^2 + g^2 h$$ This expression is fully simplified and equivalent to the original using the Distributive Property.