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NatsumeK
@NatsumeK
July 2022
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Разложите на множители выражение
(x+y)^2-x^4-y^4+2x^2y^2
Пожалуйста, решите...
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duadna23
Verified answer
(х+у)^2-(х^2-у^2)^2=(х+у)^2-((х-у) (х+у))^2=(х+у)^2(1-(х-у)^2)=(х+у)(х+у)(1-х+у)(1+х-у)
4 votes
Thanks 9
duadna23
спасибо за лучший
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Answers & Comments
Verified answer
(х+у)^2-(х^2-у^2)^2=(х+у)^2-((х-у) (х+у))^2=(х+у)^2(1-(х-у)^2)=(х+у)(х+у)(1-х+у)(1+х-у)