factor out the GFC

Question

8c^2 + 7c
3n^3 + 12n^2
15x^5 - 18x

Answer 1

To factor out the GCF (Greatest Common Factor) of each expression, we need to find the largest common factor of all terms in the expression.

1. 8c^2 + 7c:
The largest common factor of both terms is c.
Factor out c:
c(8c + 7)

2. 3n^3 + 12n^2:
The largest common factor of both terms is 3n^2.
Factor out 3n^2:
3n^2(n + 4)

3. 15x^5 - 18x:
The largest common factor of both terms is 3x.
Factor out 3x:
3x(5x^4 - 6)