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Completely factor x^4 - 81

Completely factor x^4 - 81-example-1

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(X+3) (x-3) (x^2+9) (x^2-9)
User MatthiasG
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Answer: (x + 3) (x - 3) (x^2 + 9) (x^2 - 9)

Step-by-step explanation: We can use the difference of squares formula to factor x^4 - 81 as (x^2 + 9)(x^2 - 9).

Then, we can use the difference of squares formula again to factor x^2 - 9 as (x + 3)(x - 3).

Therefore, the complete factorization of x^4 - 81 is (x + 3)(x - 3)(x^2 + 9)(x^2 - 9).

User Sahilatahar
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8.6k points