Final answer:
The simplified result of the mathematical expression 2⋅{(92−72÷4)−[(48÷8)⋅(48÷8)−2⋅3]} is 88, which is reached by carefully following the order of operations (PEMDAS).
Step-by-step explanation:
The subject of this question is mathematics, particularly the area dealing with algebraic expressions and the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
To simplify the given expression 2⋅{(92−72÷4)−[(48÷8)⋅(48÷8)−2⋅3]}, follow these steps:
- Perform the operations inside parentheses and square brackets first. In this case, the calculations are: 72÷4=18, (92-18)=74 and 48÷8=6, (6⋅6)=(48÷8)⋅(48÷8)=36, and 2⋅3=6.
- Replace the results back into the equation: 2⋅{(74)−[36−6]}
- Perform subtraction 74-30=44.
- Multiply the result by 2: 2⋅44=88.
So, the simplified result of the expression is 88.
Learn more about Simplifying Expressions