Question

−3y+7y+4y
3
−2y
2
+6y
3
−7y
3
−5y

Answer 1

To simplify the expression \(-3y + 7y + 4y^3 - 2y^2 + 6y^3 - 7y^3 - 5y\), we will combine like terms.

1. Combine the \(y\) terms:
\[
-3y + 7y - 5y = (-3 + 7 - 5)y = -1y \quad \text{or simply} \quad -y
\]

2. Combine the \(y^2\) terms:
\[
-2y^2 \quad \text{(there are no other } y^2 \text{ terms)}
\]

3. Combine the \(y^3\) terms:
\[
4y^3 + 6y^3 - 7y^3 = (4 + 6 - 7)y^3 = 3y^3
\]

Now, putting all the combined terms together, we have:

\[
3y^3 - 2y^2 - y
\]

So, the simplified expression is:

\[
3y^3 - 2y^2 - y
\]