The expression \((P + q)^2\) represents the square of the binomial \(P + q\). To expand this expression, we can apply the binomial formula:

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

Here, \(a = P\) and \(b = q\). Therefore, the expansion is:

\[
(P + q)^2 = P^2 + 2Pq + q^2
\]

Would you like more details on binomial expansions, or do you have any further questions?

### Related Questions:
1. What is the binomial theorem, and how is it applied to expand binomials?
2. How do you expand and simplify \((P - q)^2\)?
3. How does the expansion of \((P + q)^3\) differ from \((P + q)^2\)?
4. How can you factor the expression \(P^2 + 2Pq + q^2\) back into \((P + q)^2\)?
5. What are some applications of the binomial expansion in algebra?

**Tip:** Remember that expanding binomials involves squaring each term and considering the cross product terms, which result in twice the product of the two terms in the binomial.

Explore the expansion of the binomial (P + q)^2 in algebra. Learn how to apply the binomial formula to expand expressions, including step-by-step examples. Suitable for Grades 7-9 students studying algebraic expansions and the binomial theorem.

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