https://file.aiquickdraw.com/mathbot/file/1725846629174unrkhwos.jpg

The expanded form of the expression \(\left( x - \frac{3y}{2} \right) \left( \frac{x}{2} + \frac{3y}{4} \right)\) is:

\[
\frac{x^2}{2} - \frac{9y^2}{8}
\]

Would you like more details or have any questions?

Here are five related questions to expand your understanding:
1. How do you approach expanding binomial expressions?
2. What happens when you multiply two polynomials with more terms?
3. How would you factor the expression back to its original form?
4. What are the common mistakes to avoid when expanding similar expressions?
5. How does the distributive property apply in this case?

**Tip:** Always check the signs (positive or negative) when expanding binomial expressions to avoid errors.

Expand \(\left( x - \frac{3y}{2} \right) \left( \frac{x}{2} + \frac{3y}{4} \right)\).

Learn how to expand the binomial expression (x - 3y/2)(x/2 + 3y/4) using the distributive property. This algebraic problem helps students understand polynomial expansion, a key concept in Grades 9-12 mathematics.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation