QuestionMarch 20, 2026

3x(6x^2-4xy^2)+8x^2y^2-2y^3

3x(6x^2-4xy^2)+8x^2y^2-2y^3
3x(6x^2-4xy^2)+8x^2y^2-2y^3

Solution
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Answer

18x^{3} - 4x^{2}y^{2} - 2y^{3} Explanation 1. Expand the first term 3x(6x^{2}) = 18x^{3} and 3x(-4xy^{2}) = -12x^{2}y^{2}. 2. Combine all terms Expression: 18x^{3} - 12x^{2}y^{2} + 8x^{2}y^{2} - 2y^{3}. 3. Simplify like terms -12x^{2}y^{2} + 8x^{2}y^{2} = -4x^{2}y^{2}.

Explanation

1. Expand the first term<br /> $3x(6x^{2}) = 18x^{3}$ and $3x(-4xy^{2}) = -12x^{2}y^{2}$.<br />2. Combine all terms<br /> Expression: $18x^{3} - 12x^{2}y^{2} + 8x^{2}y^{2} - 2y^{3}$.<br />3. Simplify like terms<br /> $-12x^{2}y^{2} + 8x^{2}y^{2} = -4x^{2}y^{2}$.
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