3. The property involves multiplying a single term by two or more terms inside a parenthesis. For example, \( a(b+c)=a b+a c \)
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Did you know that this property is often referred to as the distributive property? It has been essential in algebra since ancient times, with roots tracing back to the Babylonians who used similar concepts in their mathematics. This technique allows us to simplify expressions and solve equations more effectively, laying the groundwork for advanced algebraic concepts! In the real world, the distributive property is incredibly useful! For instance, when calculating the total cost of multiple items, you can multiply the price of each item by the number of items and then add those amounts together, or simply multiply the price by the total number of items in bulk. This not only saves time but also reduces errors in calculations!