simplify 3x 2 3x 2

less than a minute read 23-02-2025

Simplifying 3x² + 3x²: A Step-by-Step Guide

This article explains how to simplify the algebraic expression 3x² + 3x². We'll break down the process step-by-step, making it easy to understand, even for beginners in algebra.

Understanding Like Terms

Before we simplify, let's understand what "like terms" are. Like terms in algebra are terms that have the same variables raised to the same powers. In our expression, 3x² and 3x² are like terms because they both have the variable 'x' raised to the power of 2.

Combining Like Terms

Simplifying this expression involves combining these like terms. Think of it like adding apples to apples. If you have 3 apples and you add 3 more apples, you have a total of 6 apples. Similarly:

3x² + 3x² = 6x²

We simply add the coefficients (the numbers in front of the x²) together: 3 + 3 = 6. The variable and its exponent (x²) remain unchanged.

The Simplified Expression

Therefore, the simplified form of the algebraic expression 3x² + 3x² is 6x².

Further Applications

Understanding how to combine like terms is fundamental to more complex algebraic manipulations. This skill will be crucial when solving equations, factoring polynomials, and working with more intricate algebraic expressions.

Practice Problems

Try simplifying these similar expressions to test your understanding:

5y + 2y
7a² - 3a²
2b³ + 4b³ + b³

Remember, always combine like terms by adding or subtracting their coefficients while keeping the variables and their exponents the same.

This simple example demonstrates a core concept in algebra. Mastering this skill forms a solid foundation for tackling more challenging algebraic problems. If you have any questions or want to explore more advanced simplification techniques, feel free to ask!