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milou0521
@milou0521
January 2021
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Bonjour à tous, pouvez-vous m'aider s'il vous plaît!
Développer et réduire: (4x+5)(3x-2)-(3x-2)²
Ainsi que le factoriser ensuite.
Ps: x n'est pas une multiplication.
Merci beaucoup d'avance :)
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mohayati2006
(4x+5)(3x-2)-(3x-2)²
=12x²-8x+15x-10-(9x²-12x+4)
=12x²-9x²+7x-10+12x-4
=3x²+19x-14
factoriser
(4x+5)(3x-2)-(3x-2)²
=(3x-2)(4x+5-(3x-2))
=(3x-2)(4x+5-3x+2)
=(3x-2)(4x-3x+5+2)
=(3x-2)(x+7)
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=12x²-8x+15x-10-(9x²-12x+4)
=12x²-9x²+7x-10+12x-4
=3x²+19x-14
factoriser
(4x+5)(3x-2)-(3x-2)²
=(3x-2)(4x+5-(3x-2))
=(3x-2)(4x+5-3x+2)
=(3x-2)(4x-3x+5+2)
=(3x-2)(x+7)