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📅 May 2, 2026 👤 scraface

May 02, 2026

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rac{3(\sqrt{7} + \sqrt{2})}{5}
oxed{rac{3(\sqrt{7} + \sqrt{2})}{5}}
Question: Expand the product $(2x - 3y)(x^2 + 4xy - 5y^2)$.
We apply the distributive property to expand the product:
2x(x^2 + 4xy - 5y^2) = 2x^3 + 8x^2y - 10xy^2
-3y(x^2 + 4xy - 5y^2) = -3x^2y - 12xy^2 + 15y^3
$2x^3$
$8x^2y - 3x^2y = 5x^2y$
$-10xy^2 - 12xy^2 = -22xy^2$
$15y^3$

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