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kornyusolga
@kornyusolga
July 2022
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упростите(a^2-4/a^2+4)^2+(4a/a^2+4)^2 дам 10балов
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Utem
((a²-4)/(a²+4))²+(4a/(a²+4))²=(a²-4)²/(a²+4)²+(4a)²/(a²+4)²=
знаменатели у дробей одинаковые, значит можно складывать числители
=((a²-4)²+16a²)/(a²+4)²=(a⁴-8a²+16+16a²)/(a²+4)²=(a⁴+8a²+16)/(a²+4)²=
=(a²+4)²/(a²+4)²=1
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Answers & Comments
знаменатели у дробей одинаковые, значит можно складывать числители
=((a²-4)²+16a²)/(a²+4)²=(a⁴-8a²+16+16a²)/(a²+4)²=(a⁴+8a²+16)/(a²+4)²=
=(a²+4)²/(a²+4)²=1