To simplify the expression \( 7a(a - 3ab) \), we follow the distributive property, where we multiply \( 7a \) by each term inside the parentheses:

\[
7a(a - 3ab) = 7a \cdot a - 7a \cdot 3ab
\]

Now, simplify each term:

1. \( 7a \cdot a = 7a^2 \)
2. \( 7a \cdot 3ab = 21a^2b \)

Thus, the simplified expression is:

\[
7a^2 - 21a^2b
\]

Would you like further details or have any questions? 

Here are 5 related questions for further practice:
1. Simplify \( 5x(x - 2xy) \).
2. Expand and simplify \( 8m(m - 4mn) \).
3. Factor \( 9a^2 - 36ab \).
4. Expand and simplify \( 4x(2x + 3xy) \).
5. Simplify \( 6p(p - 5pq) \).

**Tip:** When using the distributive property, always ensure that you multiply each term in the parentheses by the outside term carefully.

Simplify the algebraic expression 7a(a - 3ab) using the distributive property. This solution demonstrates step-by-step simplification by multiplying each term and combining like terms. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation