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Дашаi158
@Дашаi158
July 2022
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Упростите пожалуйста y^8+y^4+1. ответ в приложении
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Санечка69
Verified answer
y^8 + y^4 + 1 = (
y^8 + 2y^4+1) - y^4 = (y^4 + 1)² - (y²)²
=
= (y^4 + 1 - y
²) (y^4 + 1 + y²) = (y^4 - y² + 1)(y^4 + 2y² + 1 - y²) =
= (y^4 - y² + 1)((y² + 1)² - y²) = (y^4 - y² + 1
)(y² + 1 - y)(y
² + 1 + y) =
= (y^4 - y² + 1)(y² - y + 1)(y² + y + 1)
2 votes
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Answers & Comments
Verified answer
y^8 + y^4 + 1 = (y^8 + 2y^4+1) - y^4 = (y^4 + 1)² - (y²)² == (y^4 + 1 - y²) (y^4 + 1 + y²) = (y^4 - y² + 1)(y^4 + 2y² + 1 - y²) =
= (y^4 - y² + 1)((y² + 1)² - y²) = (y^4 - y² + 1)(y² + 1 - y)(y² + 1 + y) =
= (y^4 - y² + 1)(y² - y + 1)(y² + y + 1)