Question

which expression is equivalent to 5(3x + 9)? a 8x + 14 b 45x + 15 c 15x + 45 d 15x - 45

Explanation:

Step1: Apply the distributive property

The distributive property states that \( a(b + c)=ab+ac \). For the expression \( 5(3x + 9) \), we distribute the 5 to both terms inside the parentheses.
So, \( 5\times3x+5\times9 \)

Step2: Calculate each product

Calculate \( 5\times3x = 15x \) and \( 5\times9=45 \).
Combining these results, we get \( 15x + 45 \).

Answer:

C. \( 15x + 45 \)