https://file.aiquickdraw.com/mathbot/file/1730540275536m28ve715.jpg

To simplify the expression \( y = 2x^2 - 10x \), we can factor out the common factor:

1. Notice that both terms \( 2x^2 \) and \( -10x \) have a common factor of \( 2x \).
2. Factor \( 2x \) from the expression:

\[
y = 2x(x - 5)
\]

Thus, the simplified form is:

\[
y = 2x(x - 5)
\]

Would you like further details or have any questions?

Here are five related questions to expand on this concept:

1. What is the vertex of the parabola represented by \( y = 2x^2 - 10x \)?
2. How can we find the roots of \( y = 2x^2 - 10x \) by setting \( y = 0 \)?
3. What is the axis of symmetry for the parabola \( y = 2x^2 - 10x \)?
4. How does factoring help us understand the graph of a quadratic equation?
5. How would we complete the square to rewrite \( y = 2x^2 - 10x \) in vertex form?

**Tip:** When simplifying expressions, always look for common factors as the first step. It often makes the simplification process easier and reveals more information about the equation.

Learn how to simplify the quadratic expression y = 2x^2 - 10x by factoring out the common factor. This problem covers essential algebra concepts and factorization techniques, making it 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