The result obtained on subtracting the product of 2x and (x - 3y) from (5x + 3y) and (2y + 1) is ____.

16xy + 6y² - 2x² + 5x + 3

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16xy + 6y² - 2x² + 5x - 3y

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16xy + 6y² - 2x² + 5x + 3y

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16xy + 6y² - 2x² + 5x

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Solution

The correct option is C
16xy + 6y² - 2x² + 5x + 3y

(5x + 3y)(2y + 1) - 2x(x -3y)

=10xy + 5x +6y ² +3y -2x² + 6xy

=16xy + 6y² - 2x² + 5x + 3y

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