Expand the Expression: (3x-1)(x+2) Using Distribution Method

To solve this problem, we'll apply the distributive property to expand the expression $(3x-1)(x+2)$. Below are the steps:

• Step 1: Distribute each term in the first binomial to each term in the second binomial:

$3x(x) + 3x(2) + (-1)(x) + (-1)(2)$

• Step 2: Calculate each term:

$3x^2 + 6x - x - 2$

• Step 3: Combine like terms:

$3x^2 + (6x - x) - 2 = 3x^2 + 5x - 2$

Thus, the expanded expression is $3x^2 + 5x - 2$.

The correct answer choice is $3x^2 + 5x - 2$, corresponding to choice id="4".