Question
simplify (2v^2 +7v +8) - (2 - 7v^3 - 6v)
Answers
GPT-4o mini
To simplify the expression \((2v^2 + 7v + 8) - (2 - 7v^3 - 6v)\), we first distribute the negative sign across the second set of parentheses:
\[
(2v^2 + 7v + 8) - 2 + 7v^3 + 6v
\]
Now, combine the terms:
\[
7v^3 + 2v^2 + (7v + 6v) + (8 - 2)
\]
This simplifies to:
\[
7v^3 + 2v^2 + 13v + 6
\]
So, the simplified expression is:
\[
\boxed{7v^3 + 2v^2 + 13v + 6}
\]
\[
(2v^2 + 7v + 8) - 2 + 7v^3 + 6v
\]
Now, combine the terms:
\[
7v^3 + 2v^2 + (7v + 6v) + (8 - 2)
\]
This simplifies to:
\[
7v^3 + 2v^2 + 13v + 6
\]
So, the simplified expression is:
\[
\boxed{7v^3 + 2v^2 + 13v + 6}
\]