Bonjour,
Nous cherchons comment factoriser l'équation suivante:
H.x4 - 16
Merci!
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Explanation verified by Alloprof
This Explanation was verified by a member of the Alloprof team.
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=(x-2)(x+2)(x²+4)
Explanation verified by Alloprof
This Explanation was verified by a member of the Alloprof team.
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)