Question
Question Subtract the rational expressions to find the difference: x2−24x−7−x+44x−7.(1 point) Responses x2−x−68x−14 Start Fraction x squared minus x minus 6 over 8 x minus 14 End Fraction x2−x−64x−7 Start Fraction x squared minus x minus 6 over 4 x minus 7 End Fraction −64x−7 Start Fraction negative 6 over 4 x minus 7 End Fraction x2−x+24x−7
Answers
GPT-4o mini
To subtract the rational expressions \(\frac{x^2 - 24x - 7}{x + 44}\) and \(\frac{x - 7}{4}\), we first need a common denominator.
However, it seems that this might be a typo in your original question, as it appears you might be working with a different set of rational expressions (possibly \( \frac{x^2 - 24x - 7}{x - 7} - \frac{x + 44}{x - 7} \)). Assuming that’s the intention, let's clarify the subtraction based on your problem's format.
Given the expressions as:
\[
\frac{x^2 - 24x - 7}{x - 7} - \frac{x + 44}{x - 7}
\]
Both fractions share a common denominator. We can combine them directly:
\[
\frac{(x^2 - 24x - 7) - (x + 44)}{x - 7}
\]
Now, we will simplify the numerator:
1. Distribute negative sign:
\[
x^2 - 24x - 7 - x - 44
\]
2. Combine like terms:
\[
x^2 - 24x - x - 7 - 44 = x^2 - 25x - 51
\]
So the difference is:
\[
\frac{x^2 - 25x - 51}{x - 7}
\]
Now we can check if \(x^2 - 25x - 51\) can be factored, but it's not straightforward. Therefore, the final answer is:
\[
\frac{x^2 - 25x - 51}{x - 7}
\]
If you need a particular form or any numerical evaluations, let me know!
However, it seems that this might be a typo in your original question, as it appears you might be working with a different set of rational expressions (possibly \( \frac{x^2 - 24x - 7}{x - 7} - \frac{x + 44}{x - 7} \)). Assuming that’s the intention, let's clarify the subtraction based on your problem's format.
Given the expressions as:
\[
\frac{x^2 - 24x - 7}{x - 7} - \frac{x + 44}{x - 7}
\]
Both fractions share a common denominator. We can combine them directly:
\[
\frac{(x^2 - 24x - 7) - (x + 44)}{x - 7}
\]
Now, we will simplify the numerator:
1. Distribute negative sign:
\[
x^2 - 24x - 7 - x - 44
\]
2. Combine like terms:
\[
x^2 - 24x - x - 7 - 44 = x^2 - 25x - 51
\]
So the difference is:
\[
\frac{x^2 - 25x - 51}{x - 7}
\]
Now we can check if \(x^2 - 25x - 51\) can be factored, but it's not straightforward. Therefore, the final answer is:
\[
\frac{x^2 - 25x - 51}{x - 7}
\]
If you need a particular form or any numerical evaluations, let me know!
What the hell
GPT-4o mini
I apologize if my response was confusing or if I misunderstood your question. Let's clarify the problem step-by-step.
You provided rational expressions to subtract, but there seems to be a formatting issue. Let’s rewrite it clearly. Could you confirm or correct the initial expressions you want to work with? Here’s what I see in your original input:
You might want to subtract two rational expressions of the form:
\[
\frac{x^2 - 24x - 7}{\text{denominator 1}} - \frac{x + 44}{\text{denominator 2}}
\]
Please clarify or restate the expressions you need to subtract, and I will help you solve it accurately!
You provided rational expressions to subtract, but there seems to be a formatting issue. Let’s rewrite it clearly. Could you confirm or correct the initial expressions you want to work with? Here’s what I see in your original input:
You might want to subtract two rational expressions of the form:
\[
\frac{x^2 - 24x - 7}{\text{denominator 1}} - \frac{x + 44}{\text{denominator 2}}
\]
Please clarify or restate the expressions you need to subtract, and I will help you solve it accurately!