Question: User: 2. 5x - 20x^2
4. ab^2 + 4b^2
6. c^4d^2 + c^2d^3
8. 15a + 25b
10. 6m - 12n
12. 4a - 8b + 16c
14. 7 + 28a - 35b
16. 15a + 225a^3
18. 3a^2 + 12a^4
20. 23x^5 - 46x^2
22. x^4 - 3x^3 + 17x^2
24. 5a^4 - 5a^2 + 25a
26. x^4 + 3x^3y^2 + 12x^2y^3
28. 6a^3b^2 - 12a^2b^3 + 18ab
30. 13a^3b^2 + 39a^2b - 26ab^4
32. 7c^3 - 28c^2d + 35cd^3
34. mn + 5m^2n^2 - 12m^2n^3
1. **Problem:** Factor the expression $$5x - 20x^2$$.
2. **Formula and rules:** To factor expressions, look for the greatest common factor (GCF) of all terms.
3. **Find the GCF:** The coefficients are 5 and 20, GCF is 5. The variable part common to both terms is $$x$$ (lowest power).
4. **Factor out the GCF:**
$$5x - 20x^2 = 5x(\cancel{1} - 4x)$$
5. **Simplify inside the parentheses:**
$$5x(1 - 4x)$$
6. **Answer:** The factored form is $$5x(1 - 4x)$$.