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ilona26729
@ilona26729
June 2023
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EXERCICE 2
Voici quatre affirmations. Pour chacune d'entre elles, dire si elle est vraie ou fausse. On rappelle que
la réponse doit être justifiée.
4. Affirmation 4 : pour tout nombre x, (2x+1)²-4 = (2x+3)(2x - 1).
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ingridB02
Je précise les * sont les puissances
(2x+1)*2-4 = (2x+1)X(2x+1)-4 = 4x*2+2x+2x+1
=4x*2 +4x+1
(2x+3)(2x-1) = 4x-2x+6x-3 = 8x-3
Et 4x*2 +4x+1 n’est pas égal à 8x-3 donc elle est fausse
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(2x+1)*2-4 = (2x+1)X(2x+1)-4 = 4x*2+2x+2x+1
=4x*2 +4x+1
(2x+3)(2x-1) = 4x-2x+6x-3 = 8x-3
Et 4x*2 +4x+1 n’est pas égal à 8x-3 donc elle est fausse