-(3-9m%5E2-2m).jpeg "(2m-3+7m^2)-(3-9m^2-2m)")
Simplifying the Expression: (2m - 3 + 7m^2) - (3 - 9m^2 - 2m)
This article will guide you through simplifying the given expression: (2m - 3 + 7m^2) - (3 - 9m^2 - 2m).
Understanding the Expression
The expression involves combining terms with different powers of the variable 'm'. The goal is to simplify the expression by grouping like terms.
Simplifying the Expression
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Distribute the negative sign: Since we are subtracting the second set of parentheses, we distribute the negative sign to each term inside the parentheses: (2m - 3 + 7m^2) + (-3 + 9m^2 + 2m)
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Combine like terms: Identify terms with the same powers of 'm' and combine their coefficients: 7m^2 + 9m^2 + 2m + 2m - 3 - 3
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Simplify: Combine the coefficients of the like terms: 16m^2 + 4m - 6
Final Simplified Expression
The simplified form of the expression (2m - 3 + 7m^2) - (3 - 9m^2 - 2m) is 16m^2 + 4m - 6.
Key Points to Remember
- When distributing a negative sign, remember to change the signs of all terms inside the parentheses.
- Combine like terms by adding or subtracting their coefficients.
- Always arrange terms in descending order of their powers (from highest to lowest).
By following these steps, you can effectively simplify algebraic expressions involving parentheses and multiple terms.