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Question
Add the following expression:
− x2 − 3xy + 3y2 + 8, 3x2 − 5y2 − 3 + 4xy and − 6xy + 2x2 − 2 + y2
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Solution
(− x2 − 3xy + 3y2 + 8) + (3x2 − 5y2 − 3 + 4xy) + (− 6xy + 2x2 − 2 + y2)
= − x2 − 3xy + 3y2 + 8 + 3x2 − 5y2 − 3 + 4xy − 6xy + 2x2 − 2 + y2
= − x2 + 3x2 + 2x2 − 3xy − 6xy + 4xy + 3y2 + y2 − 5y2 + 8 − 3 − 2
= 4x2 − 5xy − y2 + 3
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