Simplify the expression. mc001-1.jpg 2x5y4 8x5y4 2x6y3 8x6y3 – Delving into the world of algebraic expressions, this comprehensive guide will equip you with the knowledge and techniques to simplify complex expressions with ease. Embark on a journey to unravel the mysteries of algebra as we simplify the expression 2x5y4 + 8x5y4 + 2x6y3 + 8x6y3, uncovering the intricacies of like terms and the power of algebraic manipulation.
Throughout this exploration, we will delve into the fundamental concepts of simplifying algebraic expressions, empowering you to tackle any algebraic challenge with confidence. Join us as we embark on this mathematical adventure, where clarity and understanding await.
Simplifying Algebraic Expressions
Simplifying algebraic expressions involves manipulating and combining terms to obtain an equivalent expression that is simpler and easier to work with. This process is essential in algebra and has various applications in mathematics, science, and engineering.
Identifying Like Terms
Like terms are terms that have the same variable factors raised to the same powers. For example, 2x^2y and 5x^2y are like terms, while 2xy^2 and 3x^3y are not like terms.
Combining Like Terms
Combining like terms involves adding or subtracting the coefficients of like terms. For example, 2x^2y + 5x^2y = 7x^2y and 2xy^2 – 3xy^2 = -xy^2.
Simplifying the Final Expression
After combining like terms, the simplified expression is obtained. The simplified expression is the simplest equivalent form of the original expression.
Additional Examples, Simplify the expression. mc001-1.jpg 2x5y4 8x5y4 2x6y3 8x6y3
| Expression | Simplified Expression |
|---|---|
| 2x + 3x | 5x |
5y^2
|
3y^2 |
3x^2y + 2xy^2
|
2x^2y + 2xy^2 |
FAQ Guide: Simplify The Expression. Mc001-1.jpg 2x5y4 8x5y4 2x6y3 8x6y3
What is the concept of simplifying algebraic expressions?
Simplifying algebraic expressions involves transforming complex expressions into their simplest forms by applying algebraic operations such as combining like terms, factoring, and using algebraic identities.
How do I identify like terms in an algebraic expression?
Like terms are terms that have the same variables raised to the same powers. To identify like terms, compare the variables and their exponents in each term.
What is the process of combining like terms?
Combining like terms involves adding or subtracting the coefficients of like terms while maintaining the same variables and exponents.
