QuestionAugust 25, 2025

-15x^4y^2(3x^3y^2-6x^2y^3+9xy^4)

-15x^4y^2(3x^3y^2-6x^2y^3+9xy^4)
-15x^4y^2(3x^3y^2-6x^2y^3+9xy^4)

Solution
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Answer

-45x^{7}y^{4} + 90x^{6}y^{5} - 135x^{5}y^{6} Explanation 1. Distribute the term Multiply -15x^{4}y^{2} with each term inside the parentheses. 2. First multiplication -15x^{4}y^{2} \cdot 3x^{3}y^{2} = -45x^{7}y^{4} 3. Second multiplication -15x^{4}y^{2} \cdot (-6x^{2}y^{3}) = 90x^{6}y^{5} 4. Third multiplication -15x^{4}y^{2} \cdot 9xy^{4} = -135x^{5}y^{6}

Explanation

1. Distribute the term<br /> Multiply $-15x^{4}y^{2}$ with each term inside the parentheses.<br /><br />2. First multiplication<br /> $-15x^{4}y^{2} \cdot 3x^{3}y^{2} = -45x^{7}y^{4}$<br /><br />3. Second multiplication<br /> $-15x^{4}y^{2} \cdot (-6x^{2}y^{3}) = 90x^{6}y^{5}$<br /><br />4. Third multiplication<br /> $-15x^{4}y^{2} \cdot 9xy^{4} = -135x^{5}y^{6}$
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