Question

which expression is equivalent to 6(3x + 4)? 18x + 24, 18x + 4, 9x + 4, 9x + 10

Explanation:

Step1: Apply Distributive Property

The distributive property states that \( a(b + c)=ab+ac \). For \( 6(3x + 4) \), we multiply 6 with each term inside the parentheses.
So, \( 6\times3x+6\times4 \).

Step2: Calculate Each Product

Calculate \( 6\times3x = 18x \) and \( 6\times4=24 \).
Combining these results, we get \( 18x + 24 \).

Answer:

\( 18x + 24 \) (the first option)