Simplifying the Expression (5 + 22) x (35 - 27) + 6^2
This article will guide you through the process of simplifying the mathematical expression: (5 + 22) x (35 - 27) + 6^2.
Understanding Order of Operations
To solve 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 Solution
-
Parentheses/Brackets:
- (5 + 22) = 27
- (35 - 27) = 8
-
Exponents:
- 6^2 = 6 x 6 = 36
-
Multiplication:
- 27 x 8 = 216
-
Addition:
- 216 + 36 = 252
Final Answer
Therefore, the simplified form of (5 + 22) x (35 - 27) + 6^2 is 252.