(-3)^2+6(-3)+5

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (-3)^2 + 6(-3) + 5

This article will guide you through the process of simplifying the mathematical expression (-3)^2 + 6(-3) + 5.

Understanding the Order of Operations

To simplify this expression, we need to follow the order of operations, often remembered by the acronym PEMDAS or BODMAS:

• Parentheses ( Brackets)
• Exponents ( Orders)
• Multiplication and Division (from left to right)
• Addition and Subtraction (from left to right)

Step-by-Step Simplification

1. Exponents: First, we calculate (-3)^2, which is (-3) * (-3) = 9.
2. Multiplication: Next, we perform the multiplication 6(-3) = -18.
3. Addition and Subtraction: Finally, we add and subtract the terms from left to right: 9 + (-18) + 5 = -4.

Conclusion

Therefore, the simplified form of the expression (-3)^2 + 6(-3) + 5 is -4. By following the order of operations, we can break down complex expressions into manageable steps and arrive at the correct solution.