Simplifying Algebraic Expressions: (4a-2b)-(a+5b)
Algebraic expressions are a fundamental concept in mathematics, and simplifying them is an essential skill for any student. In this article, we will explore how to simplify the expression (4a-2b)-(a+5b)
.
Step 1: Follow the Order of Operations
When simplifying algebraic expressions, it's essential to follow the order of operations (PEMDAS):
- Parentheses: Evaluate expressions inside parentheses first.
- Exponents: Evaluate any exponential expressions next.
- Multiplication and Division: Evaluate multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate addition and subtraction operations from left to right.
In our expression (4a-2b)-(a+5b)
, we need to follow this order to simplify it.
Step 2: Simplify the Expression
First, let's evaluate the expressions inside the parentheses:
(4a-2b)
= 4a - 2b
(a+5b)
= a + 5b
Now, subtract the two expressions:
(4a-2b) - (a+5b)
Step 3: Combine Like Terms
Combine like terms:
(4a - a) + (-2b - 5b)
Simplify the expression:
3a - 7b
Result
The simplified expression is 3a - 7b
.
By following the order of operations and combining like terms, we have successfully simplified the algebraic expression (4a-2b)-(a+5b)
to 3a - 7b
.