(2x)^3 Expanded Form

Jasonbradley

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Jun 16, 2024

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Expanding (2x)³

In mathematics, expanding an expression means rewriting it in a way that removes any parentheses or exponents. Let's explore how to expand the expression (2x)³.

Understanding the Basics

• Exponent: The exponent '3' in (2x)³ indicates that we're multiplying the base (2x) by itself three times.
• Order of Operations: Remember to follow the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Expanding (2x)³

1. Apply the exponent to both the coefficient and variable: (2x)³ = 2³ * x³

2. Simplify the powers: 2³ * x³ = 8 * x³

3. Combine the results: 8 * x³ = 8x³

Therefore, the expanded form of (2x)³ is 8x³.

Key Takeaways

• Expanding expressions involves applying the order of operations and simplifying the results.
• When dealing with exponents, remember to apply them to both the coefficient and variable.
• Understanding exponents and the order of operations is crucial for simplifying mathematical expressions.