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toshka1225
@toshka1225
July 2022
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Упростите выражение (x^2+y^2)^3-4x^2y^2(x^2+y^2)
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Splayt
(x^2+y^2)^3-4x^2y^2(x^2+y^2)=x^6+3x^4y^2+3x^2y^4+y^6-4x^4y^2-4x^2y^4=x^6-x^4y^2-x^2y^4+y^6=x^4(x^2-y^2)-y^4(x^2-y^2)=(x^2-y^2)(x^4-y^4)=(x^2-y^2)^2 (x^2+y^2)
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toshka1225
(x^2+y^2)^3-4x^2(отдельно)y^2(x^2+y^2)
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