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netschool
@netschool
July 2022
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Упростите выражения:
а) (∛3+∛15)*∛9
б) ∛10-√73(все под одним кубическим корнем) *∛10+√73(все под одним кубическим корнем)
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m11m
Verified answer
А) (∛3 +∛15)*∛9=(∛3 + ∛3 * ∛5)*∛9=∛3*∛9 + ∛3 * ∛5 * ∛9=∛27 + ∛27 * ∛5=
=3+3∛5
б) ∛(∛10-√73) * ∛(∛10+√73)=∛((∛10)²-(√73)²) = ∛(∛100 -73)
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Answers & Comments
Verified answer
А) (∛3 +∛15)*∛9=(∛3 + ∛3 * ∛5)*∛9=∛3*∛9 + ∛3 * ∛5 * ∛9=∛27 + ∛27 * ∛5==3+3∛5
б) ∛(∛10-√73) * ∛(∛10+√73)=∛((∛10)²-(√73)²) = ∛(∛100 -73)