Simplify The Expression: $\left(3x^2 - 2x\right) + (4x - 3$\]A. $12x^3 - 14x^2 + 6x$ B. $7x^2 - 5x$ C. $3x^2 + 2x - 3$ D. $3x^2 - 6x + 3$
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Introduction
In algebra, simplifying expressions is a crucial skill that helps us solve equations and manipulate mathematical statements. In this article, we will focus on simplifying a specific expression using basic algebraic operations. We will break down the expression into smaller parts, combine like terms, and arrive at the final simplified form.
The Expression to Simplify
The given expression is . Our goal is to simplify this expression by combining like terms and performing basic arithmetic operations.
Step 1: Distribute the Negative Sign
The first step in simplifying the expression is to distribute the negative sign to the terms inside the parentheses. This will change the sign of each term inside the parentheses.
Step 2: Combine Like Terms
Now that we have distributed the negative sign, we can combine like terms. Like terms are terms that have the same variable raised to the same power. In this case, we have two like terms: and .
Step 3: Final Simplification
We have now combined all like terms and simplified the expression. The final simplified form of the expression is .
Conclusion
In this article, we simplified the expression using basic algebraic operations. We distributed the negative sign, combined like terms, and arrived at the final simplified form. The correct answer is option C: .
Frequently Asked Questions
Q: What is the correct answer to the expression ?
A: The correct answer is option C: .
Q: How do I simplify an expression with multiple terms?
A: To simplify an expression with multiple terms, combine like terms and perform basic arithmetic operations.
Q: What are like terms?
A: Like terms are terms that have the same variable raised to the same power.
Additional Resources
For more information on simplifying expressions and basic algebraic operations, check out the following resources:
- Khan Academy: Algebra
- Mathway: Algebra Calculator
- Wolfram Alpha: Algebra Solver
Final Answer
The final answer is option C: .
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Introduction
In our previous article, we simplified the expression using basic algebraic operations. In this article, we will provide a Q&A guide to help you understand the concept of simplifying expressions and answer common questions related to this topic.
Q&A Guide
Q: What is the first step in simplifying an expression?
A: The first step in simplifying an expression is to distribute the negative sign to the terms inside the parentheses. This will change the sign of each term inside the parentheses.
Q: What are like terms?
A: Like terms are terms that have the same variable raised to the same power. For example, and are like terms because they both have the variable raised to the power of 1.
Q: How do I combine like terms?
A: To combine like terms, add or subtract the coefficients of the like terms. For example, if you have , you can combine them by adding the coefficients: .
Q: What is the difference between a coefficient and a variable?
A: A coefficient is a number that is multiplied by a variable. For example, in the term , the coefficient is 3 and the variable is . A variable is a letter or symbol that represents a value.
Q: Can I simplify an expression with multiple variables?
A: Yes, you can simplify an expression with multiple variables. To do this, combine like terms and perform basic arithmetic operations.
Q: What is the final step in simplifying an expression?
A: The final step in simplifying an expression is to check your work and make sure that you have combined all like terms and performed all necessary arithmetic operations.
Common Mistakes to Avoid
Mistake 1: Not distributing the negative sign
When simplifying an expression, make sure to distribute the negative sign to the terms inside the parentheses.
Mistake 2: Not combining like terms
When simplifying an expression, make sure to combine like terms and perform basic arithmetic operations.
Mistake 3: Not checking your work
When simplifying an expression, make sure to check your work and make sure that you have combined all like terms and performed all necessary arithmetic operations.
Additional Resources
For more information on simplifying expressions and basic algebraic operations, check out the following resources:
- Khan Academy: Algebra
- Mathway: Algebra Calculator
- Wolfram Alpha: Algebra Solver
Final Tips
- Always distribute the negative sign to the terms inside the parentheses.
- Combine like terms and perform basic arithmetic operations.
- Check your work and make sure that you have combined all like terms and performed all necessary arithmetic operations.
Conclusion
In this article, we provided a Q&A guide to help you understand the concept of simplifying expressions and answer common questions related to this topic. We also discussed common mistakes to avoid and provided additional resources for further learning. By following these tips and practicing simplifying expressions, you will become more confident and proficient in algebra.
Frequently Asked Questions
Q: What is the correct answer to the expression ?
A: The correct answer is option C: .
Q: How do I simplify an expression with multiple terms?
A: To simplify an expression with multiple terms, combine like terms and perform basic arithmetic operations.
Q: What are like terms?
A: Like terms are terms that have the same variable raised to the same power.
Final Answer
The final answer is option C: .