To expand the expression \((x + 2)(x + 5)\), use the distributive property (also known as the FOIL method for binomials):

\[
(x + 2)(x + 5) = x(x + 5) + 2(x + 5)
\]

Now, distribute each term:

\[
= x^2 + 5x + 2x + 10
\]

Finally, combine the like terms:

\[
= x^2 + 7x + 10
\]

So, the expanded form of \((x + 2)(x + 5)\) is:

\[
x^2 + 7x + 10
\]

Would you like more details on any of the steps?

Here are some related questions for further practice:
1. Expand \((x + 3)(x + 6)\).
2. Simplify \((x - 4)(x + 7)\).
3. Factor \(x^2 + 6x + 8\).
4. Expand \((2x + 3)(x - 1)\).
5. Find the product of \((x - 5)(x + 9)\).

**Tip**: When expanding binomials, always remember to distribute each term of the first binomial to every term of the second binomial!

Learn how to expand and simplify the expression (x+2)(x+5) using the distributive property. This step-by-step guide covers important algebraic concepts, such as binomial expansion and combining like terms. Ideal for students in Grades 7-9.

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