factor 36 + 30. write your answer in the form a(b + c) where a is the gcf of 36 and 30.

Explanation:

Step1: Find GCF of 36 and 30

Prime - factorize 36 = 2×2×3×3 and 30 = 2×3×5. The common factors are 2 and 3, so GCF(36, 30)=2×3 = 6.

Step2: Rewrite 36 and 30 using GCF

36=6×6 and 30 = 6×5. Then 36 + 30=6×6+6×5.

Step3: Apply distributive property

By the distributive property a(b + c)=ab+ac, we can rewrite 6×6+6×5 as 6(6 + 5).

Answer:

6(6 + 5)