Answer :

To solve the expression [tex]\((85+86+87+88+89+90+91+92) - (38+39+40+41+42+43+44+45)\)[/tex], let's break it down step-by-step.

### Step 1: Sum the numbers in the first group.
The first group of numbers is [tex]\(85, 86, 87, 88, 89, 90, 91, 92\)[/tex]. Let's add them together:

[tex]\[ 85 + 86 + 87 + 88 + 89 + 90 + 91 + 92 = 708 \][/tex]

### Step 2: Sum the numbers in the second group.
The second group of numbers is [tex]\(38, 39, 40, 41, 42, 43, 44, 45\)[/tex]. Let's add these numbers together:

[tex]\[ 38 + 39 + 40 + 41 + 42 + 43 + 44 + 45 = 332 \][/tex]

### Step 3: Calculate the difference.
Now, subtract the sum of the second group from the sum of the first group:

[tex]\[ 708 - 332 = 376 \][/tex]

### Final Answer
The result of [tex]\( (85+86+87+88+89+90+91+92) - (38+39+40+41+42+43+44+45) \)[/tex] is:

[tex]\[ 376 \][/tex]