What does distributive property of multiplication in math?

The distributive property of multiplication states that for any three numbers, (a), (b), and (c), the equation (a \times (b + c) = (a \times b) + (a \times c)) holds true. This means that when you multiply a number by a sum, you can distribute the multiplication across each addend and then sum the results. It's a fundamental property that simplifies calculations and is widely used in algebra. For example, using the distributive property, (3 \times (4 + 5)) can be calculated as (3 \times 4 + 3 \times 5), resulting in (12 + 15 = 27).