Question

which of these expressions is equivalent to $3(x - 2)$? $\bigcirc\\ 3x + 2$ $\bigcirc\\ 3x + 6$ $\bigcirc\\ 3x - 6$ $\bigcirc\\ 3x - 2$

Explanation:

Step1: Apply distributive property

The distributive property states that \( a(b + c)=ab+ac \). For \( 3(x - 2) \), we distribute the 3 to both \( x \) and \( - 2 \). So we have \( 3\times x-3\times2 \).

Step2: Simplify the terms

Calculating the products, \( 3\times x = 3x \) and \( 3\times2=6 \). So the expression becomes \( 3x-6 \).

Answer:

\( 3x - 6 \) (corresponding to the option with this expression)