Question

Simplify the expression:
–
3r–9+
–
2(
–
3r2+1)

Answer 1

Let's start by simplifying the expression you provided step-by-step:

The expression is:
\[
-3r - 9 - 2(-3r^2 + 1)
\]

First, distribute the \(-2\) across the terms inside the parentheses:

\[
-2(-3r^2) + (-2)(1) = 6r^2 - 2
\]

Now, substitute this back into the expression:

\[
-3r - 9 + 6r^2 - 2
\]

Next, combine the like terms:

1. Combine the constant terms \(-9\) and \(-2\):
\[
-9 - 2 = -11
\]

Now the expression will be:

\[
6r^2 - 3r - 11
\]

Thus, the simplified expression is:

\[
\boxed{6r^2 - 3r - 11}
\]