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Answer :
To solve the expression [tex]\(\frac{1}{3c^2 + 46c - 8} - (c + 10)\)[/tex], let's break it down step by step.
1. Understand the Expression: We are dealing with a subtraction of two parts. The first part is a fraction [tex]\(\frac{1}{3c^2 + 46c - 8}\)[/tex] and the second part is a linear expression [tex]\((c + 10)\)[/tex].
2. Rewrite the Expression: The expression is already quite simplified, but we can write it as:
[tex]\[
- (c + 10) + \frac{1}{3c^2 + 46c - 8}
\][/tex]
3. Simplify: There's no common denominator between the terms to combine them further in a simpler standard form. Each term is already as reduced as it can be independently, since the fraction can’t be simplified without additional information about [tex]\(c\)[/tex] to factor the polynomial in the denominator.
4. Final Answer:
- The expression remains:
[tex]\[
-c - 10 + \frac{1}{3c^2 + 46c - 8}
\][/tex]
This expression is simplified as much as possible given the components involved. Each term is already in its simplest form.
1. Understand the Expression: We are dealing with a subtraction of two parts. The first part is a fraction [tex]\(\frac{1}{3c^2 + 46c - 8}\)[/tex] and the second part is a linear expression [tex]\((c + 10)\)[/tex].
2. Rewrite the Expression: The expression is already quite simplified, but we can write it as:
[tex]\[
- (c + 10) + \frac{1}{3c^2 + 46c - 8}
\][/tex]
3. Simplify: There's no common denominator between the terms to combine them further in a simpler standard form. Each term is already as reduced as it can be independently, since the fraction can’t be simplified without additional information about [tex]\(c\)[/tex] to factor the polynomial in the denominator.
4. Final Answer:
- The expression remains:
[tex]\[
-c - 10 + \frac{1}{3c^2 + 46c - 8}
\][/tex]
This expression is simplified as much as possible given the components involved. Each term is already in its simplest form.
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