1. **State the problem:** Simplify the expression $2x^2 - 2x$ by factoring. 2. **Recall the factoring formula:** To factor an expression, look for the greatest common factor (GCF) of all terms. 3. **Find the GCF:** Both terms $2x^2$ and $-2x$ have a common factor of $2x$. 4. **Factor out the GCF:** $$2x^2 - 2x = 2x(x - 1)$$ 5. **Explanation:** We took out $2x$ from each term: - From $2x^2$, factoring out $2x$ leaves $x$ because $2x^2 \div 2x = x$. - From $-2x$, factoring out $2x$ leaves $-1$ because $-2x \div 2x = -1$. 6. **Final answer:** $$2x^2 - 2x = 2x(x - 1)$$