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Phoebe
@Phoebe
July 2022
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Не могу справиться с примером под буквой Б, помогите!
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sangers1959
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1. x³/y³-y³/x³=(x⁶-y⁶)/x³y³ .
2. (x⁶+y⁶)(x⁶-y⁶)/(x³y³*x³y³)=(x¹²-y¹²)/x⁶y⁶.
3. x⁴/y⁴+y⁴/x⁴+1=(x⁸+y⁸+x⁴y⁴)/x⁴y⁴.
4. (x¹²-y¹²)(x⁴y⁴)/((x⁶y⁶)(x⁸+x⁴y⁴+y⁸))=(x¹²-y¹²)/((x²y²)(x⁸+x⁴y⁴+y⁸))=
=(x⁴-y⁴)(x⁸+x⁴y⁴+y⁸)/((x²y²)(x⁸+x⁴y⁴+y⁸))=(x⁴-y⁴)/(x²y²)=x²/y²-y²/x².
5. x²/y²-y²/x²+y²/x²≡x²/y².
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Answers & Comments
Verified answer
1. x³/y³-y³/x³=(x⁶-y⁶)/x³y³ .2. (x⁶+y⁶)(x⁶-y⁶)/(x³y³*x³y³)=(x¹²-y¹²)/x⁶y⁶.
3. x⁴/y⁴+y⁴/x⁴+1=(x⁸+y⁸+x⁴y⁴)/x⁴y⁴.
4. (x¹²-y¹²)(x⁴y⁴)/((x⁶y⁶)(x⁸+x⁴y⁴+y⁸))=(x¹²-y¹²)/((x²y²)(x⁸+x⁴y⁴+y⁸))=
=(x⁴-y⁴)(x⁸+x⁴y⁴+y⁸)/((x²y²)(x⁸+x⁴y⁴+y⁸))=(x⁴-y⁴)/(x²y²)=x²/y²-y²/x².
5. x²/y²-y²/x²+y²/x²≡x²/y².