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Sagot :

Bonjour

♧ Développer et réduire :

A = 9 - (2x - 1)²
A = 9 - (4x² - 4x + 1)
A = 9 - 4x² + 4x - 1
A = - 4x² + 4x + 8

♧ Factoriser :

A = 9 - (2x - 1)²
A = (3-2x+1)(3+2x-1)
A = (-2x+4)(2x+2)

Voilà ^^
Bonjour,

9 - (2x - 1)^2 = 9 - (4x^2 - 4x + 1)
9 - (2x - 1)^2 = 9 - 4x^2 + 4x - 1
9 - (2x - 1)^2 = -4x^2 + 4x + 8

Factoriser :

9 - (2x - 1)^2 = 3^2 - (2x - 1)^2
9 - (2x - 1)^2 = (3 - 2x + 1)(3 + 2x - 1)
9 - (2x - 1)^2 = (-2x + 4)(2x + 2)
9 - (2x - 1)^2 = 4(-x + 2)(x + 1)

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