Question

use the distributive property to multiply. 2x(3x² + 5x - 2)

Explanation:

Step1: Apply Distributive Property

Multiply \(2x\) with each term inside the parentheses: \(2x \cdot 3x^2 + 2x \cdot 5x - 2x \cdot 2\)

Step2: Simplify Each Term

For \(2x \cdot 3x^2\), use \(a^m \cdot a^n = a^{m + n}\): \(6x^{3}\)
For \(2x \cdot 5x\): \(10x^{2}\)
For \(-2x \cdot 2\): \(-4x\)
Combine the terms: \(6x^3 + 10x^2 - 4x\)

Answer:

\(6x^3 + 10x^2 - 4x\)