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Identify the properties used for the first two steps in simplifying 6ab2 4a2b – 3ab2 3a2b – 2a2b2. 6ab2 4a2b-3ab2 3a2b-2a2b2 = 4a2b 3a2b-3ab2 6ab2-2a2b2 = (4 3)a2b (-3 6)ab2-2a2b2 = 7a2b 3ab2-2a2b2

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MrRoyal

The simplified expression of 6ab² + 4a²b - 3ab² + 3a²b +  2a²b² is ab(3b + 7a + 2ab)

How to simplify the expression?

The expression is given as:

6ab² + 4a²b - 3ab² + 3a²b +  2a²b²

Collect the like terms

6ab²  - 3ab² + 4a²b + 3a²b +  2a²b²

Evaluate the sum and the difference

3ab² +7a²b +  2a²b²

Factor out ab

ab(3b + 7a + 2ab)

Hence, the simplified expression of 6ab² + 4a²b - 3ab² + 3a²b +  2a²b² is ab(3b + 7a + 2ab)

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