(4a-2b)-(a+5b)

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Jun 07, 2024

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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):

1. Parentheses: Evaluate expressions inside parentheses first.
2. Exponents: Evaluate any exponential expressions next.
3. Multiplication and Division: Evaluate multiplication and division operations from left to right.
4. 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.