Question

which expression is equivalent to 6(2a - 9)? choose the correct answer. a) 12a - 54 b) 12a - 9 c) 2a - 54 d) 2a - 9

Explanation:

Step1: Apply distributive property

The distributive property states that \( c(a + b)=ca+cb \). For \( 6(2a - 9) \), we distribute 6 to both terms inside the parentheses.
So, \( 6\times2a-6\times9 \)

Step2: Calculate each term

Calculate \( 6\times2a = 12a \) and \( 6\times9=54 \).
Putting it together, we get \( 12a - 54 \)

Answer:

A) \( 12a - 54 \)