Mathematics
Evaluate:
3x2 + 5xy - 4y2 + x2 - 8xy - 5y2
Algebraic Expressions
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Answer
3x2 + 5xy - 4y2 + x2 - 8xy - 5y2
Arrange the polynomial with like terms together and combine them.
= (3x2 + x2) + 5xy - 4y2 - 8xy - 5y2
= 4x2 + (5xy - 8xy) - 4y2 - 5y2
= 4x2 - 3xy + (- 4y2 - 5y2)
= 4x2 - 3xy - 9y2
Hence, 3x2 + 5xy - 4y2 + x2 - 8xy - 5y2 = 4x2 - 3xy - 9y2
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