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