To simplify the expression \((a^3)(a + 5)\), you can distribute \(a^3\) across the terms inside the parentheses:

\[
(a^3)(a + 5) = a^3 \cdot a + a^3 \cdot 5
\]

Now, simplify each term:

\[
a^3 \cdot a = a^{3+1} = a^4
\]
\[
a^3 \cdot 5 = 5a^3
\]

So, the expression simplifies to:

\[
a^4 + 5a^3
\]

Would you like more details or have any other questions?

Here are five related questions you might find interesting:
1. How would you simplify \((a^2)(a^3 + a)\)?
2. What is the result of multiplying \((x^3)(x - 7)\)?
3. How do you factor \(a^4 + 5a^3\)?
4. Can you simplify \((2a^3)(3a^2 + 4a)\)?
5. What is the degree of the polynomial \(a^4 + 5a^3\)?

**Tip:** Always combine like terms and use exponent rules when multiplying variables.

Learn how to simplify the expression (a^3)(a + 5) with a step-by-step solution. This problem involves algebraic concepts such as exponentiation and the distribution of exponents. 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