Question

1. which expression is equivalent to 3(4x + 7)?

a. 12x + 7
b. 12x + 21
c. 7x + 21
d. 12x + 3

Explanation:

Step1: Apply distributive property

The distributive property states that \(a(b + c)=ab+ac\). For the expression \(3(4x + 7)\), we distribute 3 to both terms inside the parentheses.
So, \(3\times4x+3\times7\)

Step2: Calculate each term

First, calculate \(3\times4x\). \(3\times4 = 12\), so \(3\times4x=12x\).
Then, calculate \(3\times7 = 21\).

Step3: Combine the terms

Combining the two results, we get \(12x + 21\).

Answer:

B. \(12x + 21\)