Factor 27+24. Write your answer in the form a(b+c) where a is the GCF of 27 and 24.

Answer 1

First, we need to find the GCF (Greatest Common Factor) of 27 and 24.

- The prime factorization of 27 is 3 x 3 x 3.
- The prime factorization of 24 is 2 x 2 x 2 x 3.

The common factor between them is 3.

Now, we can use the distributive property to factor 27+24:

27+24 = 3 x 9 + 3 x 8

= 3(9+8)

= 3 x 17

Therefore, the factored form of 27+24 in the form a(b+c) where a is the GCF of 27 and 24 is:

3(9+8) or 3(17)