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x3 - x2y + 5xy2 + y3, -x3 - 9xy2 + y3, 3x2y + 9xy2

Algebraic Expressions

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Answer

x3 - x2y + 5xy2 + y3 + (-x3 - 9xy2 + y3) + 3x2y + 9xy2

Arrange the polynomial with like terms together and combine them.

= (x3 - x3) + (- x2y + 3x2y) + (5xy2 - 9xy2 + 9xy2) + (y3 + y3)

= 0 + 2x2y + 5xy2 + 2y3

Hence, the addition of x3 - x2y + 5xy2 + y3, -x3 - 9xy2 + y3, 3x2y + 9xy2 is 2x2y + 5xy2 + 2y3.

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