https://file.aiquickdraw.com/mathbot/file/1726017662403denwhjq3.jpg

The expression given in the image is:

\[
(2 - 3y)(y^2)
\]

To solve this, we distribute \(y^2\) to each term inside the parentheses:

\[
= y^2(2) - y^2(3y)
\]

Now, calculate each term:

\[
= 2y^2 - 3y^3
\]

So, the simplified expression is:

\[
2y^2 - 3y^3
\]

Would you like any further details on this, or do you have any questions?

Here are 5 related questions to deepen your understanding:
1. How would you factor an expression like \(2y^2 - 3y^3\)?
2. What happens when you distribute powers across terms in parentheses?
3. Can you apply this method to expressions with more than two terms inside parentheses?
4. How do you differentiate between like and unlike terms during simplification?
5. How does multiplying a binomial by a monomial differ from multiplying two binomials?

**Tip**: When multiplying terms, always make sure to apply the distributive property carefully to avoid missing any terms.

What is the answer to the question (2 - 3y)(y^2)?

Learn how to solve the algebraic expression (2 - 3y)(y^2) by applying the distributive property. This step-by-step guide is perfect for students in Grades 8-10, focusing on polynomial multiplication and simplification techniques.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation