The expression \((x+2)(x+1)\) can be expanded using the distributive property (also known as FOIL for binomials):

\[
(x+2)(x+1) = x(x+1) + 2(x+1)
\]
\[
= x^2 + x + 2x + 2
\]
\[
= x^2 + 3x + 2
\]

So, \((x+2)(x+1) = x^2 + 3x + 2\).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you factor \(x^2 + 3x + 2\)?
2. Can you expand \((x+3)(x+2)\)?
3. What is the solution to \(x^2 + 3x + 2 = 0\)?
4. How do you graph \(y = x^2 + 3x + 2\)?
5. What happens when you multiply three binomials, like \((x+2)(x+1)(x-1)\)?

**Tip:** When expanding two binomials, always remember to distribute every term in the first binomial to every term in the second.

Learn how to expand the binomial expression (x+2)(x+1) using the distributive property and FOIL method. This algebra problem introduces polynomials and the basic principles of binomial multiplication. Suitable for students in Grades 7-9.

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