Даю 25 баллов. Найдите значение выражения: (x^2 - 2xy +y^2) / (2x^2 +xy - 3y^2) , если (x + 2y) / y = 4. Created by borchsm8b. matematika-ru

y = 4...

borchsm8b @borchsm8b

July 2022 1 9 Report

Даю 25 баллов.
Найдите значение выражения:
(x^2 - 2xy +y^2) / (2x^2 +xy - 3y^2) , если (x + 2y) / y = 4

Answers & Comments

kirichekov

Verified answer

$\frac{x+2y}{y}=4 | *y


x+2y=4y


x=2y$

$\frac{ x^{2} -2xy+ y^{2} }{2 x^{2} +xy-3 y^{2} } = \frac{(x-y) ^{2} }{2 x^{2} +xy-3 y^{2} } =\frac{ (2y-y)^{2} }{2*(2y) ^{2} +2y*y-3 y^{2} } = \frac{ y^{2} }{8 y^{2} +2 y^{2}-3 y^{2} } = \frac{ y^{2} }{7 y^{2} } = \frac{1}{7}$

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borchsm8b Спасибо!

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borchsm8b August 2022 | 0 Ответы

Answers & Comments

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