amber97 amber97
  • 20-01-2017
  • Mathematics
contestada

factor completely y^4-81x^4

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LammettHash
LammettHash LammettHash
  • 20-01-2017
[tex]y^4-81x^4=y^4-(3x)^4=(y^2-(3x)^2)(y^2+(3x)^2)=(y-3x)(y+3x)(y^2+9x^2)[/tex]

Depending on the field over which you're factoring, you may also write the last factor as

[tex]y^2+9x^2=(y-3ix)(y+3ix)[/tex]
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