equations with brackets
Understand the Problem
The question is inquiring about equations that involve brackets, which are used to prioritize operations in mathematics. This generally pertains to understanding how to manipulate and simplify equations that include these grouping symbols.
Answer
The result depends on specific expressions, but follows the simplification process leading to a defined numerical or algebraic output.
Answer for screen readers
The answer depends on the specific expression being simplified, but generally, the process leads to a numerical result or a simpler algebraic expression.
Steps to Solve
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Identify and Simplify Inside Brackets Start by focusing on the terms inside the brackets. For example, if you have an expression like $2(3 + 4)$, first simplify inside the brackets: $3 + 4 = 7$.
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Apply the Distributive Property Next, use the distributive property to multiply the term outside the brackets with the simplified result inside. Continuing with the previous example: $$2(7) = 14$$.
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Combine Like Terms If there are additional terms outside the brackets, you would combine those with the result from the previous step. For example, if you had $2(3 + 4) + 5$, you would do: $$14 + 5 = 19$$.
The answer depends on the specific expression being simplified, but generally, the process leads to a numerical result or a simpler algebraic expression.
More Information
Understanding how to manipulate brackets ensures that operations are performed in the correct order, adhering to the mathematical order of operations (PEMDAS/BODMAS). This skill is crucial in algebra and higher-level mathematics.
Tips
- Forgetting to simplify inside the brackets first.
- Misapplying the distributive property, such as incorrectly distributing a negative sign.
- Not combining like terms properly once the brackets have been simplified.
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