
Раскрой скобки и упростите вырожения 5a-(3a-(2a-4)


Ответы на вопрос

Ответ: 4а-4



Simplifying the Expression 5a - (3a - (2a - 4))
To simplify the expression 5a - (3a - (2a - 4)), we can follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
Let's break down the steps:
1. Simplify the innermost parentheses: (2a - 4) - The expression inside the parentheses is 2a - 4. - There are no further simplifications we can do within these parentheses.
2. Simplify the next set of parentheses: (3a - (2a - 4)) - The expression inside these parentheses is 3a - (2a - 4). - Since there is a negative sign in front of the parentheses, we need to distribute the negative sign to each term inside the parentheses. - Distributing the negative sign, we get 3a - 2a + 4. - Combining like terms, we have a + 4.
3. Simplify the outer expression: 5a - (a + 4) - Since there is a negative sign in front of the parentheses, we need to distribute the negative sign to each term inside the parentheses. - Distributing the negative sign, we get 5a - a - 4. - Combining like terms, we have 4a - 4.
Therefore, the simplified expression for 5a - (3a - (2a - 4)) is 4a - 4.


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