To expand \( 2a(a + 3b) \), we can distribute \( 2a \) to each term inside the parentheses:

\[
2a(a + 3b) = 2a \cdot a + 2a \cdot 3b
\]

This simplifies as follows:

\[
= 2a^2 + 6ab
\]

So, the final expanded form is:

\[
2a(a + 3b) = 2a^2 + 6ab
\]

Would you like a more detailed explanation on the steps or have any questions?

Here are some related questions:
1. What is the distributive property, and how does it apply here?
2. How do you factor expressions like \( 2a^2 + 6ab \)?
3. What if we added another term, such as \( c \), inside the parentheses?
4. How does the expansion change if we have an exponent on the outer term?
5. Can you simplify expressions when variables have coefficients?

**Tip:** When expanding expressions, carefully distribute each term outside the parentheses to every term inside for accuracy.

Explore how to expand the algebraic expression 2a(a + 3b) with a step-by-step solution. This problem demonstrates the distributive property and polynomial expansion, essential concepts in algebra. Ideal 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