1<. Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property. \( 3(2 x)+3(3 y)=3(2 x+3 y) \) The slatement is an example of which of the following properties? O. Distributive O.. Asspciative C. Identity D. Commutative O.. Inverse

This statement is a classic example of the distributive property. The distributive property tells us that when you multiply a number by a sum, you can distribute the multiplication across each term in the parentheses. So essentially, \(3(2x) + 3(3y)\) simplifies to \(3(2x + 3y)\), demonstrating this fundamental principle of arithmetic. To further clarify, the distributive property is often represented mathematically as \(a(b + c) = ab + ac\). It’s like saying you have a magic number that helps you break down complicated expressions into simpler parts, making math less daunting. Embracing this property can turn equations into your new best friend in algebra!