Question

find the product.
2y(y² - y + 3)

Explanation:

Step1: Apply distributive property

Multiply \(2y\) with each term inside the parentheses: \(2y \times y^2 - 2y \times y + 2y \times 3\)

Step2: Simplify each term

For \(2y \times y^2\), use the rule \(a^m \times a^n = a^{m + n}\), so it becomes \(2y^{1+2}=2y^3\). For \(2y \times y\), it becomes \(2y^{1 + 1}=2y^2\). For \(2y \times 3\), it becomes \(6y\). Combine the terms: \(2y^3-2y^2 + 6y\)

Answer:

\(2y^3 - 2y^2 + 6y\)