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Rewrite the following expression in a more readable format:

[tex]\[ x^3 + \frac{1}{x^3} \][/tex]

Sagot :

GinnyAnswer
Sure! Let's simplify the given expression step by step:

1. Given Expression:
[tex]\[ x^3 + \frac{1}{x^3} \][/tex]

2. First Term Analysis:
[tex]\[ x^3 \][/tex]
This term is already in its simplest form.

3. Second Term Analysis:
[tex]\[ \frac{1}{x^3} \][/tex]
This term is also already in its simplest form.

4. Combining the Terms:
Since both terms are already simplified, we combine them to get the final expression:
[tex]\[ x^3 + \frac{1}{x^3} \][/tex]
or equivalently,
[tex]\[ x^3 + x^{-3} \][/tex]
since [tex]\( \frac{1}{x^3} \)[/tex] can be rewritten as [tex]\( x^{-3} \)[/tex].

So, the simplified result of the expression [tex]\( x^3 + \frac{1}{x^3} \)[/tex] is:
[tex]\[ x^3 + x^{-3} \][/tex]
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