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Febyshka
@Febyshka
July 2022
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Помогите сократить дробь x^3 - 9x^2 + 4x + 4 / x^3 - 7x^2 +2x +4
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Удачник66
Verified answer
X^3 - 9x^2 + 4x + 4 = x^3 - x^2 - 8x^2 + 8x - 4x + 4 = (x - 1)(x^2 - 8x - 4)
x^3 - 7x^2 + 2x + 4 = x^3 - x^2 - 6x^2 + 6x - 4x + 4 = (x - 1)(x^2 - 6x - 4)
Получаем
(x^2 - 8x - 4) / (x^2 - 6x - 4)
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Answers & Comments
Verified answer
X^3 - 9x^2 + 4x + 4 = x^3 - x^2 - 8x^2 + 8x - 4x + 4 = (x - 1)(x^2 - 8x - 4)x^3 - 7x^2 + 2x + 4 = x^3 - x^2 - 6x^2 + 6x - 4x + 4 = (x - 1)(x^2 - 6x - 4)
Получаем
(x^2 - 8x - 4) / (x^2 - 6x - 4)