The expression \((a+b)(a+b)\) can be simplified using the distributive property, also known as the FOIL method (First, Outer, Inner, Last):

\[
(a+b)(a+b) = a(a+b) + b(a+b)
\]

Now distribute \(a\) and \(b\) to each term inside the parentheses:

\[
= a^2 + ab + ba + b^2
\]

Since \(ab\) and \(ba\) are the same, they can be combined:

\[
= a^2 + 2ab + b^2
\]

So, the simplified form of \((a+b)(a+b)\) is:

\[
a^2 + 2ab + b^2
\]

Would you like any more details or have any other questions? Here are some related questions you might find interesting:

1. How do you expand \((a-b)(a+b)\)?
2. What is the binomial theorem?
3. How do you factor \(a^2 + 2ab + b^2\)?
4. How do you solve quadratic equations?
5. Can you explain the distributive property in more detail?

**Tip:** Always combine like terms to simplify algebraic expressions efficiently.

Learn how to simplify the expression (a+b)(a+b) using the distributive property and the FOIL method. This problem covers key algebraic concepts, including the distributive property and combining like terms. Suitable for students in Grades 7-9.

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