Final answer:
To find the difference between 9/3x and −4 / 2x², we find a common denominator and subtract, resulting in 13/3x. However, none of the given choices match this result, which indicates a potential error in the question or answer options.
Step-by-step explanation:
To Find the difference between the expressions 9/3x and −4 / 2x², we need to subtract the second expression from the first. Our expressions already have variable terms with x, so we seek a common denominator to combine them. The common denominator for 3x and 2x² is 6x²:
- Convert the first expression to have the common denominator: (9/3x) × (2x/2x) = 18x / 6x²
- The second expression already has the denominator 2x², so it stays as: −4 / 2x²
Now, subtract the second expression from the first:
(18x / 6x²) − (−4 / 2x²) = (18x − (-8)) / 6x² = (18x + 8) / 6x²
When simplified, this becomes:
26x / 6x² = 13/3x
However, this result is not among the multiple-choice answers given. Therefore, there seems to be a misunderstanding, or there may be an error in the question or the answer choices. It is essential to check the question and answer choices again to ensure they are written correctly.