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 \( a(b + c)=ab + ac \). For the expression \( 2(2x + 7) \), we distribute the 2 to both terms inside the parentheses.
So, \( 2\times2x+2\times7 \)

Step2: Simplify each term

Calculate \( 2\times2x = 4x \) and \( 2\times7=14 \). Combining these, we get \( 4x + 14 \).

Answer:

B. \( 4x + 14 \)