Factoriser:
x³-64+2(x²-16)


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Réponse :

Explications étape par étape

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Factoriser:

x³-64+2(x²-16)

= x^3 - 4^3 + 2(x^2 - 4^2)

= x^3 - 4^3 + 2(x - 4)(x + 4)

= (x - 4)(x^2 + 4x + 4^2) + 2(x - 4)(x + 4)

= (x - 4)(x + 4)^2 + 2(x - 4)(x + 4)

= (x - 4)(x + 4)(x + 4 + 2)

= (x - 4)(x + 4)(x + 6)