The problem asks us to expand the expression $(x+2)(x+4)$.

1. Problem Description

The problem asks us to expand the expression $(x+2)(x+4)$.

2. Solution Steps

We use the distributive property (also known as the FOIL method) to expand the product of the two binomials:

$(x+2)(x+4) = x(x) + x(4) + 2(x) + 2(4)$

$= x^2 + 4x + 2x + 8$

Now we combine like terms:

$x^2 + (4x + 2x) + 8 = x^2 + 6x + 8$

3. Final Answer

$x^2 + 6x + 8$