https://file.aiquickdraw.com/mathbot/file/1726018262946ic0c51qh.jpg

The given expression is:

\[
A_n = (1 + 2)^2 - 1
\]

Let’s simplify this step by step.

1. First, calculate the sum inside the parentheses:
   \[
   1 + 2 = 3
   \]

2. Now, square the result:
   \[
   3^2 = 9
   \]

3. Finally, subtract 1:
   \[
   9 - 1 = 8
   \]

Thus, the simplified expression for \( A_n \) is:
\[
A_n = 8
\]

Would you like further details on this calculation or have any other questions?

Here are 5 related questions to explore further:

1. How would the result change if the sum inside the parentheses was \( 1 + n \) instead of \( 1 + 2 \)?
2. Can you find the value of \( A_n \) if the equation was \( A_n = (n + 2)^2 - 1 \)?
3. How does squaring a number affect its magnitude compared to just multiplying it by a factor?
4. What happens if the subtraction at the end was a different value, like \( - 5 \)?
5. How could this equation be used to describe a sequence?

**Tip:** When simplifying expressions, always handle operations inside parentheses first, according to the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Learn how to simplify the expression (1 + 2)^2 - 1 with a step-by-step breakdown. This problem focuses on arithmetic operations and algebraic simplification, suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation