8-1(8-2)=2

To evaluate the expression \(8 - 1(8 - 2)\), we need to follow the order of operations (often remembered by the acronym PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Let's evaluate step by step:

1. Start with the parentheses: \[ 8 - 2 = 6 \]

2. Substitute back into the expression: \[ 8 - 1(6) \]

3. Next, perform the multiplication: \[ 1 \times 6 = 6 \]

4. Substitute back into the expression: \[ 8 - 6 \]

5. Finally, perform the subtraction: \[ 8 - 6 = 2 \]

Thus, the original expression evaluates to \(2\), which confirms that your equation \(8 - 1(8 - 2) = 2\) is indeed correct.