jmahnoor456 jmahnoor456
  • 25-03-2020
  • Mathematics
contestada

Factor this equation: x⁴-12x²+36

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Аноним Аноним
  • 25-03-2020

Follow the steps above

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aleenapallaz aleenapallaz
  • 25-03-2020

Answer:

[tex](x^{2} -6)^{2}[/tex]

Step-by-step explanation:

If you set [tex]x^{2} = z\\[/tex] then you can switch the equation to [tex]z^{2}-12z+36[/tex] which is easier to factor. Then we can factor normally:

[tex]-6*-6= 36\\-6+(-6)= 12\\[/tex]

[tex](z-6)(z-6)[/tex]

If we replace [tex]z[/tex] with [tex]x^{2}[/tex] then you get the answer as:

[tex](x^{2} -6)(x^{2} -6x)[/tex]

or

[tex](x^{2} -6)^{2}[/tex]

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