To simplify the expression \( x(9x^2 - 3x - 6) \), we distribute \( x \) to each term inside the parentheses:

\[
x(9x^2) - x(3x) - x(6)
\]

Now, simplify each term:

1. \( x \cdot 9x^2 = 9x^3 \)
2. \( x \cdot (-3x) = -3x^2 \)
3. \( x \cdot (-6) = -6x \)

Thus, the simplified expression is:

\[
9x^3 - 3x^2 - 6x
\]

Would you like any further details or have any questions?

Here are 5 related questions:
1. How would you factor the expression \( 9x^3 - 3x^2 - 6x \)?
2. What happens if you set \( 9x^3 - 3x^2 - 6x = 0 \)? How do you solve for \( x \)?
3. Can you expand \( x(9x - 3)(x - 2) \) and compare it to the original expression?
4. How do you find the derivative of \( 9x^3 - 3x^2 - 6x \)?
5. How does the degree of a polynomial affect its graph?

**Tip**: Always distribute carefully to avoid missing any terms in the process of simplification.

This page provides a detailed step-by-step solution to simplifying the polynomial expression x(9x^2 - 3x - 6). Learn how to apply the distributive property to expand and simplify the equation into 9x^3 - 3x^2 - 6x. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation