The expression given, (y²+y) (x⁴ + 3x³ - 2x³), can be simplified using the distributive property. Let's break it down step by step:
1. Distributive property: (a + b) * c = a * c + b * c
2. Applying the distributive property to the given expression:
(y² + y) * (x⁴ + 3x³ - 2x³) = y² * (x⁴ + 3x³ - 2x³) + y * (x⁴ + 3x³ - 2x³)
Therefore, the expression is an example of the distributive property. The distributive property allows you to distribute each term in one set of parentheses to every term in the other set of parentheses. It is a fundamental property in algebra that helps simplify expressions and solve equations efficiently.
