91Ó°ÊÓ

When you see an expression with a negative sign outside brackets, the goal is to distribute that negative sign to each term inside the brackets. This process is essential in simplifying algebraic expressions.
Let's take our example, oindent -[5x - 2y - 3z]. The negative sign in front of the brackets means that every term inside the brackets will have its sign changed.
Here, we distribute the negative sign.
This turns oindent 5x into -5x,
-2y into +2y, and
-3z into +3z.
Removing the brackets, we end up with oindent -5x + 2y + 3z.
Hence, the expression without grouping symbols is oindent -5x + 2y + 3z. Distributing the negative sign accurately is crucial for correctly simplifying algebraic expressions.

Grouping symbols, like parentheses [ ], curly braces { }, and brackets ( ), are used to indicate which operations should be performed first in an equation. They help maintain the correct order of operations.
In the given exercise, the expression -[5x - 2y - 3z] uses brackets to group terms together.
The proper way of removing grouping symbols involves performing any operations inside them first.
If a negative sign or other operation is outside the brackets, you have to apply that operation to each term inside.
As shown in the solution, we applied the negative sign to distribute and change the signs of each term inside the brackets.
Understanding the role of grouping symbols helps in simplifying and solving more complex algebraic expressions.

An equivalent expression means two expressions that have the same value, even though they might look different. Simplifying an expression helps us find equivalent expressions that are easier to work with.
In our example, we started with the expression oindent -[5x - 2y - 3z] and we needed to simplify it to find an equivalent expression without the brackets.
By distributing the negative sign correctly, we transformed the expression into oindent -5x + 2y + 3z.
While these two expressions look different, they are equivalent because they represent the same values for any variables x, y, and z.
This concept is useful in algebra as it helps simplify and solve equations more easily. Always ensure that your steps in simplifying expressions maintain their equivalence.