Question

Directions: Simplify each term by factoring.

1. 3rs
2. 12xy
3. 5x2
4. 36x2
5. 25x2
6. 30x2
7. 5x3
8. 24y3
9. 9xy
10. 12x4

Answer 1

1. 3rs

2. 6xy

3. 5x^2

4. 36x^2

5. 25x^2

6. 30x^2

7. 5x^3

8. 24y^3

9. 9xy

10. 12x^4

Answer 2

Factoring means to factor a number means to break it up into numbers that can be multiplied together to get the original number.

To simplify each term by factoring:

1.

`3rs = 3 \cdot r \cdot s`

2.

`12xy = 2 \cdot 2 \cdot 3 \cdot x \cdot y`

3.

`5x^2 = 5 \cdot x \cdot x`

4.

`36x^2 = 2 \cdot 2 \cdot 3 \cdot 3 \cdot x \cdot x`

5.

`25x^2 = 5 \cdot 5 \cdot x \cdot x`

6.

`30x^2 = 2 \cdot 3 \cdot 5 \cdot x \cdot x`

7.

`5x^3 = 5 \cdot x \cdot x \cdot x`

8.

`24y^3 = 2 \cdot 2 \cdot 2 \cdot 3 \cdot y \cdot y \cdot y`

9.

`9xy = 3 \cdot 3 \cdot x \cdot y`

10.

`12x^4 = 2 \cdot 2 \cdot 3 \cdot x \cdot x \cdot x \cdot x`