Add 5x2 + 3y2 – 9xy with -2x2 + 6y2 + 4xy
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3x²+9y²-5xy
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Required expression = (5x3 + 7 + 6x - 5x2) + (2x2 - 8 - 9x) + (4x - 2x2 + 3x3) + (3x3- 9x - x2) + ( x - x2 - x3- 4)
Collecting positive and negative like terms together, we get
5x3+ 3x3 + 3x3- x3- 5x2 + 2x2 - 2x2 - x2- x2 + 6x - 9x + 4x - 9x + x + 7 - 8 - 4
= 11x3 - x3 - 7x2 + 11x - 18x + 7 - 12
= 10x3 - 7x2 - 7x - 5
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