Let's break down the problem step-by-step:
### Step 1: Identify Relevant Values and Operations
#### Given Values:
- Sum1 is given as [tex]\(-2\)[/tex]
- Beta ([tex]\(\beta\)[/tex]) is given as [tex]\(-8\)[/tex]
- Gamma ([tex]\(\gamma\)[/tex]) is given as [tex]\(-5\)[/tex]
### Step 2: Calculate the Difference Between Beta and Gamma
To find the difference between beta and gamma, we perform the following calculation:
[tex]\[
\text{Difference} = \beta - \gamma
\][/tex]
Substitute the given values:
[tex]\[
\text{Difference} = -8 - (-5)
\][/tex]
This simplifies to:
[tex]\[
\text{Difference} = -8 + 5 = -3
\][/tex]
### Step 3: Calculate the Product
Next, we need to calculate the product of the sum given as [tex]\(-2\)[/tex] and the difference calculated above.
To find the product, we use the following calculation:
[tex]\[
\text{Product} = \text{Sum1} \times \text{Difference}
\][/tex]
Substitute the given values:
[tex]\[
\text{Product} = -2 \times (-3)
\][/tex]
This simplifies to:
[tex]\[
\text{Product} = 6
\][/tex]
### Conclusion
The difference between beta ([tex]\(-8\)[/tex]) and gamma ([tex]\(-5\)[/tex]) is [tex]\(-3\)[/tex], and the product of the sum ([tex]\(-2\)[/tex]) and this difference is [tex]\(6\)[/tex]. Therefore:
- Difference: [tex]\(-3\)[/tex]
- Product: [tex]\(6\)[/tex]
