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# Algebraic Expressions

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# Factoring (Distributive Property in Reverse) Exercises

### Example 1

Find the greatest common factor in each expression.

4*xy *- 8*y* + 3*y*^{5}

### Example 2

Find the greatest common factor in each expression.

5*z* + 25*z*^{2}

### Example 3

Find the greatest common factor in each expression.

*abc* + 5*bc* -* b*^{2}*c*

### Example 4

Find the greatest common factor in each expression.

20*x* - 16*y*

### Example 5

Factor each expression as much as possible. Check your answers by multiplication *before* clicking to see if you got them right. We can't force you to do that, of course, but it would mean a lot to us, and we would be disappointed in you if you didn't. We will use the guilt tactic here and see if that works.

2*x*^{3} + 4*x*

### Example 6

Factor each expression as much as possible. Check your answers by multiplication before clicking to see if you got them right. We can't force you to do that, of course, but it would mean a lot to us, and we would be disappointed in you if you didn't. We will use the guilt tactic here and see if that works.

9*y* + 6*x*

### Example 7

Factor each expression as much as possible. Check your answers by multiplication *before* clicking to see if you got them right. We can't force you to do that, of course, but it would mean a lot to us, and we would be disappointed in you if you didn't. We will use the guilt tactic here and see if that works.

10*a* - 20*b* + 30*c*

### Example 8

*before* clicking to see if you got them right. We can't force you to do that, of course, but it would mean a lot to us, and we would be disappointed in you if you didn't. We will use the guilt tactic here and see if that works.

- 4*z* - 12*y*

### Example 9

*before* clicking to see if you got them right. We can't force you to do that, of course, but it would mean a lot to us, and we would be disappointed in you if you didn't. We will use the guilt tactic here and see if that works.

*x*^{2}*y* + *xy*^{2}