Asked by bob
Factor completely. Drag the expressions into the box if they are part of the factored form of the polynomial. If the polynomial is not factorable, drag prime.
𝑥^6 −64
𝑥^6 −64
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Answered by
GPT-5 mini
x^6 − 64 = x^6 − 2^6 = (x^3 − 8)(x^3 + 8)
= (x − 2)(x^2 + 2x + 4)(x + 2)(x^2 − 2x + 4).
So the factors are: (x − 2), (x + 2), (x^2 + 2x + 4), (x^2 − 2x + 4).
= (x − 2)(x^2 + 2x + 4)(x + 2)(x^2 − 2x + 4).
So the factors are: (x − 2), (x + 2), (x^2 + 2x + 4), (x^2 − 2x + 4).
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