\begin{tabular}{l} Which expression is equivalent to $$ 30 x-12 y $$ ? \ a. $$ 2(15 x+6 y) $$ \ b. $$ 6(5 x-12 y) $$ \ c. $$ 6(5 x-2 y) $$ \ \hline d. $$ x(30-12 y) $$ \ Make sure what is in front of, and multiplied by, the parentheses is common to \end{tabular}

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To determine which expression is equivalent to $$ 30x - 12y $$, we will simplify each option and see if it matches the original expression.

1. **Option a: $$ 2(15x + 6y) $$**
   - Distributing $$ 2 $$:
   $$
   2(15x + 6y) = 2 \cdot 15x + 2 \cdot 6y = 30x + 12y
   $$
   - This does not match $$ 30x - 12y $$.

2. **Option b: $$ 6(5x - 12y) $$**
   - Distributing $$ 6 $$:
   $$
   6(5x - 12y) = 6 \cdot 5x - 6 \cdot 12y = 30x - 72y
   $$
   - This does not match $$ 30x - 12y $$.

3. **Option c: $$ 6(5x - 2y) $$**
   - Distributing $$ 6 $$:
   $$
   6(5x - 2y) = 6 \cdot 5x - 6 \cdot 2y = 30x - 12y
   $$
   - This matches $$ 30x - 12y $$.

4. **Option d: $$ x(30 - 12y) $$**
   - Distributing $$ x $$:
   $$
   x(30 - 12y) = 30x - 12xy
   $$
   - This does not match $$ 30x - 12y $$.

After evaluating all options, the expression that is equivalent to $$ 30x - 12y $$ is:

**Option c: $$ 6(5x - 2y) $$**.
Option c: $$ 6(5x - 2y) $$ is equivalent to $$ 30x - 12y $$.

\begin{tabular}{l} Which expression is equivalent to \( 30 x-12 y \) ? \\ a. \( 2(15 x+6 y) \) \\ b. \( 6(5 x-12 y) \) \\ c. \( 6(5 x-2 y) \) \\ \hline d. \( x(30-12 y) \) \\ Make sure what is in front of, and multiplied by, the parentheses is common to \end{tabular}

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