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Question

How much is x2 − 2xy + 3y2 less than 2x2 − 3y2 + xy?

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Solution

Required expression = (2x2 - 3y2 + xy) - (x2 - 2xy + 3y2)
= 2x2 - 3y2 + xy - x2 + 2xy - 3y2
Collecting positive and negative like terms together, we get
2x2 - x2 - 3y2 - 3y2 + xy + 2xy
= x2 - 6y2 + 3xy

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