Question

Subtract the polynomials and simplify the final answer (g^3 + 4g - 9) - (-2g^3 + 8g - 4)

Answer 1

To subtract the polynomials \( (g^3 + 4g - 9) - (-2g^3 + 8g - 4) \), we first distribute the negative sign across the second polynomial:

\[
g^3 + 4g - 9 + 2g^3 - 8g + 4
\]

Now, we can combine like terms:

1. Combine the \( g^3 \) terms:
\[
g^3 + 2g^3 = 3g^3
\]

2. Combine the \( g \) terms:
\[
4g - 8g = -4g
\]

3. Combine the constant terms:
\[
-9 + 4 = -5
\]

Now, putting it all together, we have:

\[
3g^3 - 4g - 5
\]

Thus, the simplified final answer is:

\[
\boxed{3g^3 - 4g - 5}
\]