To expand \((x + 1)^2\), apply the formula for the square of a binomial:

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

In this case:
- \(a = x\)
- \(b = 1\)

Now substitute \(a\) and \(b\) into the formula:

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

Simplifying each term:

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

So, the unfactored form of \((x + 1)^2\) is:

\[
x^2 + 2x + 1
\]

Would you like a further breakdown of the steps, or have any questions?

### Related Questions
1. How would you expand \((x - 2)^2\)?
2. Can you show how to expand \((2x + 3)^2\)?
3. What is the formula for expanding \((a + b)^3\)?
4. How do you expand a binomial like \((x + 1)^3\)?
5. What is the factored form of \(x^2 + 2x + 1\)?

### Tip
Remember that the middle term in \((a + b)^2\) is always twice the product of \(a\) and \(b\).

Explore how to expand the binomial expression (x + 1)^2 with a step-by-step breakdown. This algebra problem demonstrates the binomial expansion formula and includes simplified terms. Ideal for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation