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Home » Thus, the smallest positive integer \( n \) is: - Ready Digital AB

Thus, the smallest positive integer \( n \) is: - Ready Digital AB

📅 March 7, 2026 👤 scraface

Mar 07, 2026

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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
$2x^3$
$8x^2y - 3x^2y = 5x^2y$
$-10xy^2 - 12xy^2 = -22xy^2$
$15y^3$
So the expanded expression is:
2x^3 + 5x^2y - 22xy^2 + 15y^3

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