Common factoring is the opposite of expanding, but you are adding brackets

 

There are some steps to common factor:

 

                                        For example: 10x+5

 

Step 1: Find the greatest common factor( a number that both numbers can be divided by) 

 

GCF: 10

 

Step 2: Write the solution with the brackets, meaning place the GCF in front of the brackets and be sure to divide both of the numbers by the GCF.

 

= 10(x+1)

 

 

Examples:

 

1) 12x+6x                                                    2) 50x+5x2             

= 3x(4+2)                                                   = 5x(10+x)

(If you were to expand)

= 12x+6x

 

 

3) 5x3+7y+2z  

- NOT POSSIBLE 

 

 

 

Now lets try:

 

 

1) 8x+4z                                       2) 2xz+ 4x+6x                           3) 100x+50x+10

 

 

 

 

4) 260x+10x+2x                         5) 15x+16x+18x                        

 

 

Answers: