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uliabogdan797
@uliabogdan797
July 2022
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Сократите дробь. 20 баллов!
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ВладимирБ
Verified answer
Решение смотри в приложении
3 votes
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zhenyaM2002
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(х⁴-10х²+9) / (х⁴-х³) =
= (х⁴ -9х² -х²+ 9 ) / ( х³(х-1) ) =
= (х² (х²-9) - 1(х²-9)) / (х³ (х-1)) =
= ( (х²-1)(х²-9) ) / (х³ (х-1)) =
= ( (х-1)(х+1)(х-3)(х+3) ) / (х³ (х-1) )=
= ( (х+1)(х-3)(х+3) ) / х³
= ( (х+1)(х²-9)) / х³
0 votes
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Answers & Comments
Verified answer
Решение смотри в приложенииVerified answer
(х⁴-10х²+9) / (х⁴-х³) == (х⁴ -9х² -х²+ 9 ) / ( х³(х-1) ) =
= (х² (х²-9) - 1(х²-9)) / (х³ (х-1)) =
= ( (х²-1)(х²-9) ) / (х³ (х-1)) =
= ( (х-1)(х+1)(х-3)(х+3) ) / (х³ (х-1) )=
= ( (х+1)(х-3)(х+3) ) / х³
= ( (х+1)(х²-9)) / х³