Common Core: A-SSE.2
Problem 14 of 18a1-014
Which of the following shows with its greatest common factor factored out?
Try it first
The walkthrough opens once you check an answer.
Solution walkthrough2:15
- Factoring out the GCF undoes distributing. Find the biggest piece that every term shares, then pull it out.
- Numbers first: , and all divide by , and nothing bigger divides . So the number part is .
- Now the parts: , and . Every term has at least one , so take . The GCF is .
- Divide each term by : , , .
- So . Multiply back to check: you get all three terms again.
- Traps: misses the , drops the , does not divide the .