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 \(x\) from the first bracket to both terms in the second bracket.
\[ x \cdot (x + 10) = x^2 + 10x \]

### Step 2: Distribute \(8\) from the first bracket to both terms in the second bracket.
\[ 8 \cdot (x + 10) = 8x + 80 \]

### Step 3: Combine all the terms obtained from the distributions.
\[ x^2 + 10x + 8x + 80 \]

### Step 4: Combine like terms.
\[ x^2 + (10x + 8x) + 80 = x^2 + 18x + 80 \]

### Final Answer:
\[ (x + 8)(x + 10) = x^2 + 18x + 80 \]

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