Problem 115
Question
Use the order of operations to simplify each expression. $$8-3[-2(2-5)-4(8-6)]$$
Step-by-Step Solution
Verified Answer
The simplified form of the expression is 22.
1Step 1: Solve inside the parentheses
First, resolve the expressions inside the parentheses: \(2-5\) and \(8-6.\) This gives -3 and 2 respectively.
2Step 2: Simplify the expression within the brackets
Replace the terms in parentheses in the original expression with the computed values from Step 1. This give us the expression: \(8 - 3[-2(-3) - 4(2)]\). We then calculate the expressions within the brackets, -6 and -8, to get the simplified expression: \(8 - (-6 - 8)\).
3Step 3: Perform the subtraction
Finally, we perform the subtraction operation to get the final answer. This gives us: \(8 - (-14)\), which simplifies to \(8 + 14 = 22\). In the end, the expression gets simplified to 22.
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