# Factoring (Distributive Property in Reverse) Exercises

### Example 1

What's the greatest common factor of 4*xy *– 8*y* + 3*y*^{5}?

### Example 2

What's the greatest common factor of 5*z* + 25*z*^{2}?

### Example 3

What's the greatest common factor of *abc* + 5*bc* –* b*^{2}*c*?

### Example 4

What's the greatest common factor of 20*x* – 16*y*?

### Example 5

Factor 2*x*^{3} + 4*x* as much as possible. Check your answer by multiplication *before* clicking to see if you got it right. We can't force you to do that, of course, but it would mean a lot to us, and we'd be disappointed in you if you didn't. We'll use the guilt tactic here and see if that works.

### Example 6

What are the factors of 9*y* + 6*x*?

### Example 7

What are the factors of 10*a* – 20*b* + 30*c*?

### Example 8

What are the factors of -4*z* – 12*y*?

### Example 9

What are the factors of *x*^{2}*y* + *xy*^{2}?