разложите многочлен на множители:16[tex] x^{4} [/tex] + [tex] y^{4} [/tex]. Created by ABC1234567. algebra-ru

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разложите многочлен на множители:
16[tex] x^{4} [/tex] + [tex] y^{4} [/tex]

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Artem112

Verified answer

$16 x^{4} + y^{4} =(4x^2)^2+(y^2)^2+8x^2y^2-8x^2y^2=(4x^2+y^2)-8x^2y^2=
\\\
=(4x^2+y^2- \sqrt{8}xy )(4x^2+y^2+ \sqrt{8}xy )= \\\ =(4x^2+y^2-2 \sqrt{2}xy )(4x^2+y^2+2 \sqrt{2}xy )$

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ABC1234567 August 2022 | 0 Ответы

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Answers & Comments

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