To expand the expression \((x + 2)(x + 4)\), we use the distributive property (FOIL method) as follows:

1. **First**: Multiply the first terms in each binomial: \(x \cdot x = x^2\).
2. **Outer**: Multiply the outer terms in the binomials: \(x \cdot 4 = 4x\).
3. **Inner**: Multiply the inner terms in the binomials: \(2 \cdot x = 2x\).
4. **Last**: Multiply the last terms in each binomial: \(2 \cdot 4 = 8\).

Now, add all these products together:
\[ x^2 + 4x + 2x + 8 \]

Combine like terms:
\[ x^2 + 6x + 8 \]

So, the expanded form of \((x + 2)(x + 4)\) is:
\[ x^2 + 6x + 8 \]

Would you like any further details or have any questions?

Here are 5 more questions you might be interested in:

1. How do you factorize quadratic expressions?
2. Can you explain the Pythagorean theorem?
3. What is the integral of \( \cos(x) \)?
4. How do you solve systems of linear equations?
5. What are the rules for exponents?

**Tip:** When combining like terms, ensure that you correctly match terms with the same variable and exponent to simplify the expression accurately.

Learn how to expand the expression (x + 2)(x + 4) using the FOIL method step-by-step. This problem covers key algebraic concepts including polynomials and the distributive property. Suitable for students in Grades 7-9.

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