How to factor x^2-2x

Step 1: Define the Problem

Identify the key components of the question that need to be addressed:

• Factor the quadratic expression $x^2 - 2x$.

Step 2: Break Down the Problem

Divide the problem into smaller, manageable parts:

• Identify common factors in the expression.
• Apply factoring techniques to simplify the expression.

Step 3: Apply Relevant Concepts

Use appropriate academic theories or formulas to solve each part of the problem:

• Look for a common factor in the terms of the expression.
• Factor out the greatest common factor (GCF).

Step 4: Analysis, Verify and Summarize

Analyze each part in detail if necessary, carry out the calculations by steps:

• The expression $x^2 - 2x$ has a common factor of $x$.
• Factoring out $x$ gives: $x(x - 2)$.

Verify the calculations result and summarize the findings:

• The expression $x^2 - 2x$ is factored as $x(x - 2)$.

Final Answer

The factored form of $x^2 - 2x$ is $x(x - 2)$.