Final answer:
The result of the expression AB - C, with A = 0, B = 3x + 2, and C = x - 3, simplifies to -x + 3.
The correct answer is option B) 0.(3x + 2) - (x - 3).
Step-by-step explanation:
The result of the expression AB - C in its simplest form, given that A = 0, B = 3x + 2, and C = x - 3, can be found by substituting these values into the expression. Since A is 0, the product of AB will also be 0, regardless of the value of B. Therefore, the simplified expression is 0 - (x - 3), which equals -x + 3.
It is imperative to note that simplification is straightforward since the term AB eliminates itself due to multiplication by zero. Thus, the remaining term -C which is -(x - 3), needs to be simplified by distributing the negative sign inside the parentheses, resulting in -x + 3.
The correct answer is option B) 0.(3x + 2) - (x - 3).