Simplifying Algebraic Expressions: 5xy - 4/2x^2y^3 + 3xy + 4y/2x^2y^3
Algebraic expressions are a fundamental concept in mathematics, and simplifying them is an essential skill to master. In this article, we will simplify the algebraic expression 5xy - 4/2x^2y^3 + 3xy + 4y/2x^2y^3.
Step 1: Combine Like Terms
The first step in simplifying an algebraic expression is to combine like terms. In this case, we have two terms with the same variable, xy.
5xy + 3xy
We can combine these two terms by adding their coefficients:
8xy
Step 2: Simplify Fractions
Next, we need to simplify the fractions in the expression.
-4/2x^2y^3 and 4y/2x^2y^3
We can simplify these fractions by canceling out the common factors.
-2/x^2y^3 and 2y/x^2y^3
Step 3: Combine the Simplified Terms
Now, we can combine the simplified terms from Step 1 and Step 2.
8xy - 2/x^2y^3 + 2y/x^2y^3
Final Simplified Expression
After simplifying the algebraic expression 5xy - 4/2x^2y^3 + 3xy + 4y/2x^2y^3, we get:
8xy - 2/x^2y^3 + 2y/x^2y^3
This is the simplified form of the given algebraic expression.
