The expression \((x+1)^2\) can be expanded using the binomial formula:

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

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

Would you like further details or have any questions?

Here are 5 related questions to explore:

1. How would you expand \((x - 2)^2\)?
2. What is the result of \((2x + 3)^2\)?
3. Can you factor the expression \(x^2 + 6x + 9\)?
4. How do you apply the binomial formula to \((3x - 4)^2\)?
5. What happens when you square a binomial with fractions, like \(\left(\frac{x}{2} + 1\right)^2\)?

**Tip:** When expanding a binomial, remember the middle term comes from multiplying both terms by each other and doubling the result!

Learn how to expand the expression (x+1)² using the binomial expansion formula. This step-by-step guide covers key algebraic concepts and shows how to derive x² + 2x + 1. Suitable for students in Grades 6-8.

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