-(3%2F2x-1).jpeg "(7/2x-2)-(3/2x-1)")
Simplifying Algebraic Expressions: (7/2x-2)-(3/2x-1)
In algebra, simplifying expressions is an essential skill to master. In this article, we will explore how to simplify the expression (7/2x-2)-(3/2x-1).
Step 1: Follow the Order of Operations
When simplifying expressions, we need to follow the order of operations (PEMDAS):
- Parentheses: Evaluate expressions inside parentheses first.
- Exponents: Evaluate any exponential expressions next.
- Multiplication and Division: Evaluate from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations.
Step 2: Simplify the Expression
Let's start by evaluating the expression (7/2x-2)-(3/2x-1):
(7/2x-2)-(3/2x-1)
Step 3: Distribute the Negative Sign
When we see a negative sign in front of an expression, we need to distribute it to the terms inside the parentheses:
=- (3/2x-1)
(7/2x-2) + (-3/2x+1)
Step 4: Combine Like Terms
Now, we can combine like terms:
(7/2x - 3/2x) + (-2 + 1)
4/2x - 1
Simplified Expression
After simplifying the expression (7/2x-2)-(3/2x-1), we get:
4/2x - 1
or
2x - 1
And that's the simplified form of the expression!
