Question

Euler's Number, e Quick Check
4 of 54 of 5 Items
Question
Simplify the expression (4e2−5e+2)+(2e2+6e−3)
.(1 point)
Responses

6e2+11e−5
6 e squared plus 11 e minus 5

6e2+e−1
6 e squared plus e minus 1

6e2+11e−1
6 e squared plus 11 e minus 1

6e2+e−5

Answer 1

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

Here are the steps:

1. Combine the \(e^2\) terms:
\[
4e^2 + 2e^2 = 6e^2
\]

2. Combine the \(e\) terms:
\[
-5e + 6e = 1e \quad \text{or just } e
\]

3. Combine the constant terms:
\[
2 - 3 = -1
\]

Putting it all together, we have:
\[
6e^2 + e - 1
\]

So, the correct simplified expression is:
**6e² + e - 1** (the option **6 e squared plus e minus 1**).