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

1. Distribute \( x \) to \( 2x^3 \):

\[ x \cdot 2x^3 = 2x^4 \]

2. Distribute \( x \) to \( -3x \):

\[ x \cdot (-3x) = -3x^2 \]

Now, combine these results:

\[ 2x^4 - 3x^2 \]

So, the simplified expression is:

\[ 2x^4 - 3x^2 \]

Would you like more details or have any questions about this solution?

Here are some more questions you might want to explore:

1. How do you factorize polynomials?
2. What are the rules for multiplying polynomials?
3. How do you simplify algebraic expressions?
4. What is the difference between polynomial and rational expressions?
5. How do you solve polynomial equations?

**Tip:** When simplifying expressions, always look for common factors and apply the distributive property correctly.

Learn how to simplify the expression x(2x^3 - 3x) with a step-by-step solution. This problem involves applying the distributive property to polynomials and is suitable for students in Grades 7-9 studying algebra.

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