The problem asks to simplify the expression $(5m^2 - 2m + 3) + (4m - 2m^2 + 7)$.

AlgebraPolynomialsSimplificationCombining Like Terms
2025/5/13

1. Problem Description

The problem asks to simplify the expression (5m22m+3)+(4m2m2+7)(5m^2 - 2m + 3) + (4m - 2m^2 + 7).

2. Solution Steps

First, we remove the parentheses:
5m22m+3+4m2m2+75m^2 - 2m + 3 + 4m - 2m^2 + 7
Next, we group like terms together:
(5m22m2)+(2m+4m)+(3+7)(5m^2 - 2m^2) + (-2m + 4m) + (3 + 7)
Combine like terms:
(52)m2+(2+4)m+(3+7)(5 - 2)m^2 + (-2 + 4)m + (3 + 7)
3m2+2m+103m^2 + 2m + 10

3. Final Answer

3m2+2m+103m^2 + 2m + 10

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