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Vladimir2000000000
@Vladimir2000000000
February 2022
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Разложите на множители:
x^3-x^2y-xy^2+y^3
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Lesben
X³-x²y-xy²+y³=x³+y³-xy(x+y)=(x+y)(x²-xy+y²)-xy(x+y)=
=(x+y)(x²-xy+y²-xy)=(x+y)(x²-2xy+y²)=(x+y)(x-y)(x-y)=
=(x+y)((x-y)²
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Answers & Comments
=(x+y)(x²-xy+y²-xy)=(x+y)(x²-2xy+y²)=(x+y)(x-y)(x-y)=
=(x+y)((x-y)²