-%2B-(4a2-%E2%88%92-3ab-%2B-9).jpeg "(2a2 + Ab + 2b) + (4a2 − 3ab + 9)")
Simplifying the Expression (2a² + ab + 2b) + (4a² − 3ab + 9)
In this article, we'll be simplifying the expression (2a² + ab + 2b) + (4a² − 3ab + 9). This involves combining like terms to achieve a simplified form.
Understanding the Process
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Identify like terms: Like terms are terms that have the same variables raised to the same powers. In our expression, we have:
- a² terms: 2a² and 4a²
- ab terms: ab and -3ab
- Constant terms: 2b and 9
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Combine like terms: Add or subtract the coefficients of the like terms.
Simplifying the Expression
Applying the above steps, we get:
(2a² + ab + 2b) + (4a² − 3ab + 9)
= (2a² + 4a²) + (ab - 3ab) + (2b + 9)
= 6a² - 2ab + 2b + 9
Conclusion
By combining like terms, we have simplified the expression (2a² + ab + 2b) + (4a² − 3ab + 9) to 6a² - 2ab + 2b + 9. This simplified form is easier to work with and provides a clearer understanding of the expression.