Question

Directions: Simplify each term by factoring.

1. 9rs

2. 14xy

3. 5x2

4. 32x2

5. 20x2

6. 30x2

7. 5x3

8. 25y3

9. 9xy

10. 12x4

Answer 1

9rs cannot be factored any further since 9 and r and s are all prime numbers.

14xy cannot be factored any further since 14, x, and y have no common factors.

5x^2 cannot be factored any further since 5 and x^2 are both prime.

32x^2 can be factored as 2^5 * x^2.

20x^2 can be factored as 2^2 * 5 * x^2.

30x^2 can be factored as 2 * 3 * 5 * x^2.

5x^3 cannot be factored any further since 5 and x^3 are both prime.

25y^3 can be factored as 5^2 * y^3.

9xy cannot be factored any further since 9, x, and y are all prime numbers.

12x^4 can be factored as 2^2 * 3 * x^4.

Explanation: