Simplifying Algebraic Expressions: 5a+2b-3a+b
In this article, we will explore how to simplify the algebraic expression 5a+2b-3a+b. Algebraic expressions are mathematical phrases that combine variables, constants, and mathematical operations. Simplifying these expressions helps to make them easier to understand and work with.
The Expression: 5a+2b-3a+b
The given expression is 5a+2b-3a+b. Our goal is to simplify this expression by combining like terms.
Step 1: Combine Like Terms
To simplify the expression, we need to combine the like terms. Like terms are terms that have the same variable(s) and coefficient(s). In this expression, we have two like terms: 5a and -3a, both of which have the variable 'a'. We can combine these terms by adding their coefficients:
5a - 3a = 2a
The resulting expression is:
2a + 2b + b
Step 2: Combine Remaining Like Terms
We still have two like terms: 2b and b, both of which have the variable 'b'. We can combine these terms by adding their coefficients:
2b + b = 3b
The final simplified expression is:
2a + 3b
Conclusion
In this article, we simplified the algebraic expression 5a+2b-3a+b by combining like terms. The resulting simplified expression is 2a + 3b. This process helps to make the expression easier to understand and work with, and it is an essential skill in algebra and mathematics.
