Factor the expression completely.

10, x, to the power 5 , minus, 2, x

10*x*5−2*x*

To factor the expression \(10x^5 - 2x\) completely, follow these steps:

1. **Identify the greatest common factor (GCF):** 
   The GCF of \(10x^5\) and \(2x\) is \(2x\).

2. **Factor out the GCF:**
   \[
   10x^5 - 2x = 2x(5x^4 - 1)
   \]

Thus, the completely factored form of the expression is:

\[
2x(5x^4 - 1)
\]

Would you like more details or have any questions?

Here are five related questions:

1. How do you factor polynomials with more than two terms?
2. How would you factor an expression like \(8x^6 - 4x^2\)?
3. What is the GCF of two or more algebraic expressions?
4. How do you handle higher powers when factoring?
5. Can the expression \(5x^4 - 1\) be factored further?

**Tip:** Always check for common factors before starting more complex factoring techniques.

Factor the expression completely: 10x^5 - 2x

Learn how to factor the algebraic expression 10x^5 - 2x by identifying the greatest common factor (GCF) and factoring it out. This solution covers key algebra concepts such as GCF and factoring techniques. Suitable for students in Grades 8-10.

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