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Dimons2018
@Dimons2018
October 2021
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Разложите многочлен на множители, используя метод выделения полного квадрата двучлена:
25a^2-20ab-12b^2
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nKrynka
Verified answer
Решение
25a² - 20ab - 12b² =25[a² -(20/25)*ab - (12/25)*b²] =
= 25* [(a² - 2*(2/5)ab + (4/25)b²)) - (4/25)b² - (12/25)b²] =
25[(a - (2/5)*b)² - (16/25)b²] = 25*[a - (2/5)b - (4/5)b] * [a - (2/5)b + (4/5)b] =
= 25*[a - (6/5)b]*[a + (2/5)b]
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Answers & Comments
Verified answer
Решение25a² - 20ab - 12b² =25[a² -(20/25)*ab - (12/25)*b²] =
= 25* [(a² - 2*(2/5)ab + (4/25)b²)) - (4/25)b² - (12/25)b²] =
25[(a - (2/5)*b)² - (16/25)b²] = 25*[a - (2/5)b - (4/5)b] * [a - (2/5)b + (4/5)b] =
= 25*[a - (6/5)b]*[a + (2/5)b]