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Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{b^5}{5} - \frac{2}{5}$

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Add and subtract rational expressions

Full solution

Q. Simplify. Express your answer as a single fraction in simplest form.

\newline

\frac{b^5}{5} - \frac{2}{5}

Identify common denominator: Identify the common denominator for the fractions. In this case, both fractions already have the same denominator, which is $5$ .
Subtract numerators: Since the denominators are the same, subtract the numerators directly. This gives us $(b^5 - 2)/5$ .
Check for simplification: Check if the numerator can be simplified further. Since $b^5$ and $2$ have no common factors other than $1$ , the numerator cannot be simplified. Therefore, the expression in its simplest form is $(b^5 - 2)/5$ .

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