https://file.aiquickdraw.com/mathbot/file/1726084167121yo6zl8cy.jpg

The expression to factor is:

\[
w^2 + 18w + 81
\]

We will attempt to factor this quadratic expression. First, recognize that this is a perfect square trinomial because:

\[
w^2 + 18w + 81 = (w + 9)(w + 9) = (w + 9)^2
\]

Thus, the factored form is:

\[
(w + 9)(w + 9)
\]

From the options given, the correct answer is **C**: \((w + 9)(w + 9)\).

Would you like more details on how to factor perfect square trinomials? 

Here are five related questions for further practice:
1. How do you factor a quadratic expression that is not a perfect square?
2. Can you factor the expression \(w^2 + 14w + 49\)?
3. What is the general form of a perfect square trinomial?
4. How can you check if a quadratic expression is factorable?
5. What are the steps to solve a quadratic equation by factoring?

**Tip:** When factoring trinomials, always check if the middle term is twice the product of the square roots of the first and last terms to identify a perfect square trinomial.

Learn how to factor the quadratic expression w^2 + 18w + 81 with a step-by-step solution. This problem involves recognizing perfect square trinomials and factoring methods. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation