Question

which expression is equivalent to 2(2x + 7)? a 4x - 14 b 4x + 14 c 14x + 4 d 8x + 14

Explanation:

Step1: Apply distributive property

The distributive property states that \(a(b + c)=ab+ac\). Here, \(a = 2\), \(b = 2x\), and \(c = 7\). So we multiply 2 with each term inside the parentheses: \(2\times2x+2\times7\).

Step2: Calculate each product

Calculate \(2\times2x = 4x\) and \(2\times7 = 14\). Then combine the results: \(4x + 14\).

Answer:

B. \(4x + 14\)