FOIL the following expressions.
`(x+4)(x+9)`

Answer

To FOIL the expression \((x + 4)(x + 9)\), we will follow these steps:

### Step 1: Identify the terms
In the expression \((x + 4)(x + 9)\), we have:
- First terms: \(x\) and \(x\)
- Outer terms: \(x\) and \(9\)
- Inner terms: \(4\) and \(x\)
- Last terms: \(4\) and \(9\)

### Step 2: Multiply the First terms
Multiply the first terms:
\[ x \cdot x = x^2 \]

### Step 3: Multiply the Outer terms
Multiply the outer terms:
\[ x \cdot 9 = 9x \]

### Step 4: Multiply the Inner terms
Multiply the inner terms:
\[ 4 \cdot x = 4x \]

### Step 5: Multiply the Last terms
Multiply the last terms:
\[ 4 \cdot 9 = 36 \]

### Step 6: Combine all the results
Now, we will combine all the results from the previous steps:
\[ x^2 + 9x + 4x + 36 \]

### Step 7: Combine like terms
Combine the like terms (\(9x\) and \(4x\)):
\[ x^2 + (9x + 4x) + 36 = x^2 + 13x + 36 \]

### Final Answer
Thus, the expression \((x + 4)(x + 9)\) after applying the FOIL method is:
\[ x^2 + 13x + 36 \]

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