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Home » Now, divide the sum by 3 to compute the average: - AssociationVoting

Now, divide the sum by 3 to compute the average: - AssociationVoting

📅 May 17, 2026 👤 scraface

May 17, 2026

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2x(x^2 + 4xy - 5y^2) = 2x^3 + 8x^2y - 10xy^2
-3y(x^2 + 4xy - 5y^2) = -3x^2y - 12xy^2 + 15y^3
$2x^3$
$8x^2y - 3x^2y = 5x^2y$
$-10xy^2 - 12xy^2 = -22xy^2$
$15y^3$
So the expanded expression is:
2x^3 + 5x^2y - 22xy^2 + 15y^3
oxed{2x^3 + 5x^2y - 22xy^2 + 15y^3}
Question: If $x + y = 10$ and $x^2 + y^2 = 58$, find $x^3 + y^3$.

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