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(52-2)2+33

less than a minute read Jun 16, 2024
(52-2)2+33

Breaking Down the Equation: (52 - 2)2 + 33

This article aims to break down the mathematical expression (52 - 2)2 + 33 and provide a step-by-step solution.

Understanding Order of Operations

The key to solving this equation lies in understanding 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 Solution

  1. Parentheses/Brackets: First, we solve the operation within the parentheses: 52 - 2 = 50.
  2. Exponents/Orders: Next, we square the result: 50² = 2500.
  3. Addition: Finally, we add 33 to the result: 2500 + 33 = 2533.

Conclusion

Therefore, the solution to the equation (52 - 2)2 + 33 is 2533. By adhering to the order of operations, we can systematically solve even complex mathematical expressions.

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