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Student Question

Secondary IV • 2yr.

Bonjour,

Nous cherchons comment factoriser l'équation suivante:

H.x4 - 16


Merci!

Mathématiques
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Explanations (1)

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    2yr.

    x4 - 16=(x²)²-4² de la forme a²-b²=(a+b)(a-b)

    x4 - 16=(x²-4)(x²+4)

    de plus x²-4 est aussi de la forme a²-b²

    x²-4= x²-2²

    x²-4=(x-2)(x+2)

    on revient á notre expression

    x4 - 16=(x²-4)(x²+4)

    x4 - 16=(x-2)(x+2)(x²+4)

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