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: Write down the expression
We start with the expression:
\[ (x - 8)(x - 10) \]

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

### Step 3: Distribute the second term in the first bracket
Now, multiply \(-8\) (the second term in the first bracket) by each term in the second bracket:
\[ -8 \cdot (x - 10) = -8x + 80 \]

### Step 4: Combine the results from Steps 2 and 3
Now, we combine all the terms we obtained:
\[ x^2 - 10x - 8x + 80 \]

### Step 5: Combine like terms
Combine the like terms \(-10x\) and \(-8x\):
\[ x^2 - 18x + 80 \]

### Final Answer
The expanded form of \((x - 8)(x - 10)\) is:
\[ x^2 - 18x + 80 \]

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