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PetitPoteau
@PetitPoteau
April 2019
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Bonjour, pouvez-vous m'aider pour ces calculs s'il-vous-plait ?
Il faut développer et réduire les expressions en utilisant les identités remarquables :
A = (√x + 2)(2√x - 1) - (1 - √x)(1 + √x)
B = (x^3 - 3)(2x + 4) - (x² + 2)(x² - 2)
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hunterxpro4
A = (√x + 2)(2√x - 1) - (1 - √x)(1 + √x)
=(√x + 2)(2√x - 1)+(√x-1)(√x+1)=(√x + 2)(2√x - 1)+√x²-1 / √x²-1 ==> identité remarquable =(√x + 2)(2√x - 1)+x-1=2x-√x+4√x-2+x-1
=3x+3√x-3
B = (x^3 - 3)(2x + 4) - (x² + 2)(x² - 2)
=(x^3 - 3)(2x + 4) - (x² + 2) ( x²-2)
=2x*x^3+4x^3-6x-12-x^4+2x²-2x²+4
=2x*x^3+4x^3-6x-8-x^4
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=(√x + 2)(2√x - 1)+(√x-1)(√x+1)=(√x + 2)(2√x - 1)+√x²-1 / √x²-1 ==> identité remarquable =(√x + 2)(2√x - 1)+x-1=2x-√x+4√x-2+x-1
=3x+3√x-3
B = (x^3 - 3)(2x + 4) - (x² + 2)(x² - 2)
=(x^3 - 3)(2x + 4) - (x² + 2) ( x²-2)
=2x*x^3+4x^3-6x-12-x^4+2x²-2x²+4
=2x*x^3+4x^3-6x-8-x^4