Сократите дробь: x^3+x^2-72x __________ 9x-72. Created by Katerina236. algebra-ru

Сократите дробь: x^3+x^2-72x _________

February 2022 2 42 Report

Сократите дробь:
x^3+x^2-72x
__________
9x-72

Verified answer

Числитель: x³+x²-72x=x³+9x²-8x²-72x=(x³-8x²)+(9x²-72x)=x²(x-8)+9x(x-8)= (x-8)(x²+9x)
знаменатель: 9x-72=9(x-8)
(x-8)(x²+9x) / 9(x-8) = x²+9x / 9

12 votes Thanks 9

TARTILLO

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Сократите дробь:x^3+x^2-72x
__________ =
9x-72

x^3+x^2-72x=x(x²+x-72)=x(x-8)(x+9)

9x-72=9(x-8)

x^3+x^2-72x x(x-8)(x+9)
__________ = __________ = x(x+9)/9
9x-72 9(x-8)

6 votes Thanks 4

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Разложите квадратный трёхчлен на множители: а) 4x^2-144...

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