Answer:
12 + 20 = 4(3 + 5)
Step-by-step explanation:
The distributive property is ab + ac = a(b + c), where
- a is the greatest common factor of the two terms ab and ac
Let us solve the question
∵ 12 = 1 × 12, 2 × 6, 3 × 4
∴ The factors of 12 are 1, 2, 3, 4, 6, 12
∵ 20 = 1 × 20, 2 × 10, 4 × 5
∴ The factors of 20 are 1, 2, 4, 5, 10, 20
→ Find their common factors
∵ The common factors of 12 and 20 are 1, 2, 4
∴ The greatest common factor of 12 and 20 is 4
∵ 12 ÷ 4 = 3
∵ 20 ÷ 4 = 5
∴ 12 + 20 = 4 × 3 + 4 × 5
→ Take 4 as a common factor
∴ 12 + 20 = 4(3 + 5)
