Question

Simplify the expression (5e2−6e+7)−(4e2−6e−2)
.(1 point)
Responses

9e2−12e+5
9 e squared minus 12 e plus 5

9e2+9
9 e squared plus 9

e2+9
e squared plus 9

e2−12e+9
e squared minus 12 e plus 9
Skip to navigation

Answer 1

Let's simplify the expression step by step:

Given:

\[
(5e^2 - 6e + 7) - (4e^2 - 6e - 2)
\]

First, distribute the negative sign in front of the second parentheses:

\[
5e^2 - 6e + 7 - 4e^2 + 6e + 2
\]

Now, combine like terms. Start with the \(e^2\) terms:

\[
5e^2 - 4e^2 = e^2
\]

Next, combine the \(e\) terms:

\[
-6e + 6e = 0
\]

Now combine the constant terms:

\[
7 + 2 = 9
\]

Putting it all together, we have:

\[
e^2 + 9
\]

So, the simplified expression is:

\[
e^2 + 9
\]

The correct response is:

**e^2 + 9**