Expand: `(x+8) (x-10)`

Answer

To expand the expression \((x + 8)(x - 10)\), we will use the distributive property (also known as the FOIL method for binomials). Here are the steps:

### Step 1: Distribute the first term of the first bracket
Multiply \(x\) by each term in the second bracket:
\[ x \cdot (x - 10) = x^2 - 10x \]

### Step 2: Distribute the second term of the first bracket
Now, multiply \(8\) by each term in the second bracket:
\[ 8 \cdot (x - 10) = 8x - 80 \]

### Step 3: Combine the results from Step 1 and Step 2
Now, we combine all the terms we obtained:
\[ x^2 - 10x + 8x - 80 \]

### Step 4: Combine like terms
Combine the \(x\) terms:
\[ x^2 + (-10x + 8x) - 80 = x^2 - 2x - 80 \]

### Final Answer
Thus, the expanded form of \((x + 8)(x - 10)\) is:
\[ \boxed{x^2 - 2x - 80} \]