(3a^2+1)-(4+2a^2) Standard Form

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Jul 03, 2024

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Simplifying Expressions: (3a^2+1)-(4+2a^2) in Standard Form

In algebra, simplifying expressions is an essential skill to master. One of the fundamental concepts in simplifying expressions is combining like terms. In this article, we will explore how to simplify the expression (3a^2+1)-(4+2a^2) and write it in standard form.

Understanding the Expression

The given expression is (3a^2+1)-(4+2a^2). To simplify this expression, we need to follow the order of operations (PEMDAS):

1. Distribute the negative sign to the terms inside the parentheses: -4-2a^2
2. Combine like terms: 3a^2+1-4-2a^2

Combining Like Terms

To combine like terms, we need to group the terms with the same variable and coefficient. In this case, we have:

• a^2 terms: 3a^2 - 2a^2 = a^2
• Constant terms: 1 - 4 = -3

Standard Form

The simplified expression in standard form is:

a^2 - 3

In standard form, the expression is written with the variable terms in descending order of their exponents, and the constant term is written last.

Conclusion

Simplifying expressions is an essential skill in algebra. By following the order of operations and combining like terms, we can simplify complex expressions into their standard form. In this article, we have simplified the expression (3a^2+1)-(4+2a^2) to its standard form, which is a^2 - 3.