Choose the correct simplification of the expression sets the stage for this enthralling narrative, offering readers a glimpse into a story that is rich in detail and brimming with originality from the outset. As we delve into the intricacies of algebraic expressions, we will uncover the secrets of simplifying them with precision and finesse, empowering you to conquer any mathematical challenge that comes your way.

Throughout this comprehensive guide, we will embark on a journey through the fundamental concepts of algebra, exploring the distributive property, combining like terms, factoring, rational expressions, radicals, exponents, and logarithms. With each step, we will unravel the mysteries of algebraic simplification, equipping you with the tools and techniques to navigate the complexities of mathematical equations.

Simplifying Algebraic Expressions: Choose The Correct Simplification Of The Expression

Simplifying algebraic expressions involves manipulating mathematical expressions to obtain an equivalent expression that is simpler or easier to work with. This can be done by applying various algebraic operations and properties.

Basic Operations

• Addition: Combining like terms with the same variable, e.g., 2x + 3x = 5x.
• Subtraction: Removing like terms with the same variable, e.g., 5x – 2x = 3x.
• Multiplication: Multiplying the coefficients and adding the exponents of variables with the same base, e.g., (2x)(3y) = 6xy.
• Division: Dividing the coefficients and subtracting the exponents of variables with the same base, e.g., (6xy) / (2x) = 3y.

Distributive Property

The distributive property states that for any expression (a + b)c, the expression is equivalent to ac + bc.

• Example: 3(x + 2) = 3x + 6

Combining Like Terms, Choose the correct simplification of the expression

Combining like terms involves grouping terms with the same variable and exponent. The coefficients of the like terms are then added or subtracted.

• Example: 2x + 5x – 3x = 4x

FAQ Summary

What is the distributive property?

The distributive property states that for any number a, b, and c, a(b + c) = ab + ac.

How do I combine like terms?

To combine like terms, simply add or subtract the coefficients of the terms with the same variable.

What is factoring?

Factoring is the process of expressing a polynomial as a product of smaller polynomials.