Question

fully simplify this expression.

(1)/(7)y^(5)+2y+(3)/(7)y^(5)+2y

Answer 1

To simplify the expression

\[
\frac{1}{7}y^5 + 2y + \frac{3}{7}y^5 + 2y,
\]

we can start by combining the like terms.

First, combine the \( y^5 \) terms:

\[
\frac{1}{7}y^5 + \frac{3}{7}y^5 = \left(\frac{1}{7} + \frac{3}{7}\right)y^5 = \frac{4}{7}y^5.
\]

Next, combine the \( 2y \) terms:

\[
2y + 2y = 4y.
\]

Now, we can rewrite the expression as:

\[
\frac{4}{7}y^5 + 4y.
\]

Thus, the fully simplified expression is:

\[
\frac{4}{7}y^5 + 4y.
\]