Question

multiply.
3x(2x² - 5x + 5)
3x(2x² - 5x + 5) = \boxed{} (simplify your answer.)

Explanation:

Step1: Apply distributive property

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

Step2: Simplify each term

For \(3x \cdot 2x^2\), use \(a^m \cdot a^n = a^{m + n}\): \(6x^{3}\)
For \(-3x \cdot 5x\): \(-15x^{2}\)
For \(3x \cdot 5\): \(15x\)
Combine the terms: \(6x^3 - 15x^2 + 15x\)

Answer:

\(6x^3 - 15x^2 + 15x\)