Question
or
Simplify. Express your answer as a single fraction in simplest form.
3y5
5
+
3
5
Answers
GPT-4o mini
To simplify the expression \( \frac{3y^5}{5} + \frac{3}{5} \), we notice that both terms have a common denominator of 5.
We can combine the fractions:
\[
\frac{3y^5}{5} + \frac{3}{5} = \frac{3y^5 + 3}{5}
\]
Now, we can factor out the common term in the numerator:
\[
3y^5 + 3 = 3(y^5 + 1)
\]
So, the expression becomes:
\[
\frac{3(y^5 + 1)}{5}
\]
This is the simplified single fraction form. Therefore, the final answer is:
\[
\frac{3(y^5 + 1)}{5}
\]
We can combine the fractions:
\[
\frac{3y^5}{5} + \frac{3}{5} = \frac{3y^5 + 3}{5}
\]
Now, we can factor out the common term in the numerator:
\[
3y^5 + 3 = 3(y^5 + 1)
\]
So, the expression becomes:
\[
\frac{3(y^5 + 1)}{5}
\]
This is the simplified single fraction form. Therefore, the final answer is:
\[
\frac{3(y^5 + 1)}{5}
\]