To simplify the expression (x+2)(x+4), we can use the FOIL method, which stands for first, outside, inside, last.
We multiply the terms as follows:
First: x * x = x^2
Outside: x * 4 = 4x
Inside: 2 * x = 2x
Last: 2 * 4 = 8
Then we combine like terms:
x^2 + 4x + 2x + 8
Simplifying further:
x^2 + 6x + 8
Therefore, (x+2)(x+4) simplifies to x^2 + 6x + 8.
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