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Simlipfy the following - (2x-3y) (3x + y) + (x + 2y) (x-y)

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Answer:

4x^2 - 6xy - 2y^2

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

= 6x^2 + 2xy - 9xy - 3y^2 + x^2 - xy + 2xy - 2y^2

= 6x^2 - 3x^2 + x^2 + 2xy - 9xy - xy + 2xy - 2y^2

= 4x^2 - 6xy - 2y^2

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