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’s a step-by-step solution:

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

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

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

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

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

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