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Sagot :

Réponse:

Bonjour

Explications étape par étape:

a) A = (4x+3)² - (5-2x)²

= (4x² +2×4x×3 +3²) - (5²- 2×5×2x + 2x²)

= 16x² +24x +9 -(25 -20x + 4x²)

= 16x² +24x +9 -25 +20x -4x²

= 12x² +44x -16

b) B = (x+6)(3-9x) - (x+6)(6x-7)

= (x+6)(3-9x-(6x-7))

= (x+6)(3-9x-6x+7)

= (x+6)(10-15x)

= (x+6)5 × (2-3x)

= 5(x+6)(2-3x)

Bjr

Développement :

A = (4x+3)²-(5-2x)²

A = (4x²+2×4x×3+3²)-(5²-2×5×2x+2x²)

A = 16x²+24x+9-(25-20+4x²)

A = 16x²+24x+9-25+20x-4x²

A = 12x²+44x-16

Factorisation :

B = (x+6)(3-9x) - (x+6)(6x-7)

B = (x+6)(3-9x-(6x-7))

B = (x+6)(3-9x-6x+7)

B = (x+6)(10-9x-6x)

B = (x+6)(10-15x)

B = (x+6)×5(2-3x)

B = 5(x+6)(2-3x)

Voilà !

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