To simplify the expression \((4x^3y + 5xy^2 - 2xy) + (6x^3y - 9xy^2 + 3xy)\), we can combine like terms.
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Identify like terms:
- Terms with \(x^3y\): \(4x^3y\) and \(6x^3y\)
- Terms with \(xy^2\): \(5xy^2\) and \(-9xy^2\)
- Terms with \(xy\): \(-2xy\) and \(3xy\)
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Combine like terms:
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For \(x^3y\): \[ 4x^3y + 6x^3y = 10x^3y \]
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For \(xy^2\): \[ 5xy^2 - 9xy^2 = -4xy^2 \]
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For \(xy\): \[ -2xy + 3xy = xy \]
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Put it all together: \[ 10x^3y - 4xy^2 + xy \]
Thus, the simplified expression is \(10x^3y - 4xy^2 + xy\).
The correct answer is: \(10x^3y - 4xy^2 + xy\)