\( 2 x \quad ( 3 x - 1 ) \)

To solve the expression \( 2 x ( 3 x - 1 ) \), you’ll want to use the distributive property. This means you multiply \( 2x \) by each term inside the parentheses: 1. Multiply \( 2x \) by \( 3x \) to get \( 6x^2 \). 2. Then, multiply \( 2x \) by \( -1 \) to get \( -2x \). Putting it all together, the expression simplifies to \( 6x^2 - 2x \). Voila! You've just simplified this expression like a pro! Now that you have it simplified, you could potentially apply this in real-world situations like calculating areas, for instance. If you think of \( x \) as a variable representing a length of a side of a garden, then \( 2x (3x - 1) \) could easily represent a different combination of lengths involved in maximizing your planting area. How neat is that?