Simplifying the Expression (-5)^2 - 2 x (-9) + 6
This expression involves several mathematical operations, so let's break it down step by step to find its simplified value.
Order of Operations
We need to follow the order of operations (often remembered by the acronym PEMDAS or BODMAS):
- Parentheses/Brackets: We have parentheses here, so we'll address them first.
- Exponents: Next, we'll deal with any exponents.
- Multiplication and Division: These are done from left to right.
- Addition and Subtraction: These are also done from left to right.
Calculation
- (-5)^2: This means -5 multiplied by itself: (-5) x (-5) = 25
- 2 x (-9): This is a simple multiplication: 2 x (-9) = -18
- 25 - (-18) + 6: Now we have only addition and subtraction. Remember that subtracting a negative is the same as adding a positive: 25 + 18 + 6
- 25 + 18 + 6 = 49
Conclusion
Therefore, the simplified value of the expression (-5)^2 - 2 x (-9) + 6 is 49.