martindarkangel1 martindarkangel1
  • 18-03-2021
  • Mathematics
contestada

Factorise 3x⁴-4y⁴ completely

Respuesta :

surjithayer10otahza surjithayer10otahza
  • 19-03-2021

Answer:

Step-by-step explanation:

[tex]3x^4-4y^4\\=(\sqrt{3}x^2)^2-(2y^2)^2)\\=(\sqrt{3}x^2+2y^2)(\sqrt{3}x^2-2y^2)\\=(\sqrt{3} x^{2} +2y^{2} )((3^{\frac{1}{4} } x)^2-(\sqrt{2} y)^{2} )\\=(\sqrt{3} x^{2} +2y^{2} )(3^{\frac{1}{4} } x+\sqrt{2} y)(3^{\frac{1}{4} } x-\sqrt{2} y)[/tex]

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