(2x+6)(2x+8)

Jasonbradley

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Jun 16, 2024

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Expanding the Expression (2x+6)(2x+8)

This article will walk you through the steps of expanding the expression (2x+6)(2x+8).

Understanding the Process

Expanding this expression means multiplying each term in the first set of parentheses by each term in the second set of parentheses. This is also known as the FOIL method (First, Outer, Inner, Last).

Step-by-Step Expansion

1. First: Multiply the first terms of each set of parentheses: (2x) * (2x) = 4x²

2. Outer: Multiply the outer terms of each set of parentheses: (2x) * (8) = 16x

3. Inner: Multiply the inner terms of each set of parentheses: (6) * (2x) = 12x

4. Last: Multiply the last terms of each set of parentheses: (6) * (8) = 48

5. Combine Like Terms: Combine the terms with the same variable and exponent: 4x² + 16x + 12x + 48 = 4x² + 28x + 48

Conclusion

Therefore, the expanded form of (2x+6)(2x+8) is 4x² + 28x + 48.