Respuesta :

09pqr4sT

Answer:

[tex]\left(x^2+3i\right)\left(x^2-3i\right)[/tex]

Step-by-step explanation:

[tex]x^4+9[/tex]

[tex]x^4+9[/tex] can be written as [tex]x^4--9[/tex].

Apply the formula for the difference of two squares.

[tex](a^2-b^2)=(a+b)(a-b)[/tex]

[tex]-9=3i^2[/tex]

[tex]x^4=(x^2)^2[/tex]

[tex](x^2)^2-(3i)^2=(x^2+3i)(x^2-3i)[/tex]

wegnerkolmp2741o

Answer:

(x^2 - 3i) ( x^2 +3i)

Step-by-step explanation:

X^4+9

x^4 - -9

This is the difference of squares (a^2 - b^2) = (a-b)(a+b)

(x^2) ^2 - ( 3i)^2

(x^2 - 3i) ( x^2 +3i)

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