The expression you provided is:

\[
25x^2 - 81x
\]

We can factor out the greatest common factor (GCF) from the terms:

The GCF of \( 25x^2 \) and \( 81x \) is \( x \). So, factoring \( x \) out:

\[
x(25x - 81)
\]

Thus, the factored form of the expression is:

\[
x(25x - 81)
\]

Would you like more details or have any questions?

Here are 5 related questions to explore:

1. How would you solve \( 25x^2 - 81x = 0 \) for \( x \)?
2. What are the roots of the factored equation \( x(25x - 81) = 0 \)?
3. How do you find the GCF (Greatest Common Factor) of two terms?
4. Can you apply factoring to other types of quadratic expressions like \( ax^2 + bx + c \)?
5. How do you graph \( 25x^2 - 81x \) or its factored form?

**Tip:** Always look for a common factor first when simplifying or factoring an expression!

Learn how to factor the quadratic expression 25x^2 - 81x by finding the greatest common factor (GCF). This guide explains factoring techniques, simplifies expressions, and highlights related algebraic concepts. Ideal 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