Предмет: Алгебра, автор: anaid88

Відомо що x^2+y^2=a, xy=b. Чому дорівнює значення виразу x^4+x^2y^2+y^4?​

Ответы

Автор ответа: bena20193
2

Ответ:

Объяснение:

x^2+y^2=a, xy=b. Чому дорівнює значення виразу x^4+x^2y^2+y^4?​

x⁴+x²y²+y⁴=x⁴+x²y²+y⁴-x²y²+x²y²=x⁴+2x²y²+y⁴-x²y²=

=(x²+y²)²-x²y²=a²-b²

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