Factor out the greatest common factor in each question.
1. 7× + 21
2. 12n - 9
3. 10c + 30
4. 10b + 25
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However, I will do one problem.
4. 10b + 25 = 5(2b + 5)
To factor out the greatest common factor (GCF) in each expression, you need to identify the largest common factor that divides evenly into every term.
Let's look at each question one by one:
1. 7× + 21:
To find the GCF, we need to identify the common factors of the two terms: 7× and 21. The largest factor that divides into both terms is 7. So, we can factor out 7 and rewrite the expression as:
7(× + 3)
2. 12n - 9:
Again, we need to identify the common factors of the two terms: 12n and 9. The largest factor that divides into both terms is 3. So, we can factor out 3 and rewrite the expression as:
3(4n - 3)
3. 10c + 30:
For this expression, we need to find the common factors of the two terms: 10c and 30. The largest factor that divides evenly into both terms is 10. Therefore, we can factor out 10 and rewrite the expression as:
10(c + 3)
4. 10b + 25:
Here, we need to identify the common factors of the two terms: 10b and 25. The largest factor that divides evenly into both terms is 5. So, we can factor out 5 and rewrite the expression as:
5(2b + 5)
By factoring out the GCF, we simplify the expressions and make them easier to work with.