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Mathematics

Use direct method to evaluate the following product:
(3x - 2y) (2x + y)

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Answer

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

= (3x $\times$ 2x) + (3x $\times$ y + (-2y) $\times$ 2x) + ((-2y) $\times$ y)

= 6x² + (3xy - 4xy) - 2y²

= 6x² - 1xy - 2y²

Hence, (3x - 2y) (2x + y) = 6x² - xy - 2y²

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