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Lesechka [4]
3 years ago
10

Simplify :x-³y-³(x-y)³​

Mathematics
1 answer:
olchik [2.2K]3 years ago
7 0

Answer:

\huge\boxed{x^3-y^3-(x-y)^3=3x^2y-3xy^2}

Step-by-step explanation:

x^3-y^3-(x-y)^3\qquad|\text{use}\ (a-b)^3=a^3-3a^2b+3ab^2-b^3\\\\=x^3-y^3-(x^3-3x^2y+3xy^2-y^3)\\\\=x^3-y^3-x^3+3x^2y-3xy^2+y^3\qquad|\text{combine like terms}\\\\=(x^3-x^3)+(-y^3+y^3)+3x^2y-3xy^2\\\\=3x^2y-3xy^2

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