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Welcome to our Math lesson on How to remove the brackets from an Algebraic Expression when no Operations are involved, this is the first lesson of our suite of math lessons covering the topic of Expanding Brackets, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.
If we have part of an algebraic expression enclosed inside brackets and we want to get rid of them, the simplest case is observed when no other operations (multiplication, division, raise in power, etc.) are involved. In this case, we apply the following rule:
A 'minus' symbol before an expression inside brackets changes the sign to all its terms when the brackets are removed, while a 'plus' symbol makes no change in the signs of each term.
(If there is no sign before a pair of brackets, we assume it as positive).
In symbols, we can write:
Simplify the following algebraic expression.
Applying the above rules and those discussed in the previous guide regarding the operations with like terms, we obtain
We can confirm the above properties by using numbers instead of letters (variables). Thus,
But, we know that the value of the expression inside brackets is
Hence, the first property is true. The same procedure is applied with the other three cases in order to confirm the rest of the properties.
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