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sleta1998A
@sleta1998A
August 2022
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(6-3x)^2/3x^2+3x-18
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coolpetrov
Если (6-3x)² - это числитель, а (3x²+3x-18) - знаменатель
(6-3x)² = 36-36x+9x²=9*(x-2)²
3x²+3x-18=3*(x+3)*(x-2)
Сокращаешь числитель и знаменатель дроби на "3*(x-2)"
⇒
(6-3x)²/(3x^2+3x-18) = 3*(x-2)/(x+3)
3 votes
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sleta1998A
Спасибо
coolpetrov
Там (6-3x)² = 36-36x+9x²=9*(x-2)², а в ответе 3*(x-2)/(x+3). Опечатка
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Answers & Comments
(6-3x)² = 36-36x+9x²=9*(x-2)²
3x²+3x-18=3*(x+3)*(x-2)
Сокращаешь числитель и знаменатель дроби на "3*(x-2)"
⇒ (6-3x)²/(3x^2+3x-18) = 3*(x-2)/(x+3)