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Find the expression that represents the length of the hypotenuse of a right triangle whose legs measure 2x^2 - y^2 and 2xy.

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Find the expression that represents the length of the hypotenuse of a right triangle whose legs measure 2x2 y2 and 2xy class=

Respuesta :

r3t40

By pythagorean theorem,

[tex]h^2=(2x^2-y^2)^2+(2xy)^2[/tex]

First simplify RHS,

[tex]h^2=4x^4-4x^2y^2+y^4+4x^2y^2[/tex]

[tex]h^2=4x^4+y^4[/tex]

Take square root of both sides,

[tex]h=\sqrt{4x^4+y^4}[/tex]

So the answer is A.

Hope this helps :)

HistoryDoctor71

Answer:

A.

Step-by-step explanation:

correct on EDGE2021

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