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Developper ces expression (pas juste la réponse )

^2= au carré

Merci énormément


(X+3)(5x-4)+(x+3)^2
(4x+1)^2-(3x-2)(4x+1)
(4x+5)(4x-5)*(x+2)(4x+5
(X-5)^2-(x-5)(7-2x)
(X-1)(2x+5)-(x-1)^2

Sagot :

Bonjour

Développer les expressions suivantes :

(X+3)(5x-4)+(x+3)²

= 5x² - 4x + 15x - 12 + x² + 6x + 9

= 5x² + x² - 4x + 15x + 6x - 12 + 9

= 6x² + 17x - 3

(4x+1)²-(3x-2)(4x+1)

= 16x² + 8x + 1 - (12x² + 3x - 8x - 2)

= 16x² + 8x + 1 - 12x² - 3x + 8x + 2

= 16x² - 12x² + 8x + 8x - 3x + 1 + 2

= 4x² + 13x + 3

(4x+5)(4x-5)*(x+2)(4x+5)

=(16x² - 25) (4x² + 5x + 8x + 10)

= 64x⁴ + 80x³ + 128x³ + 160x² - 100x² - 125x -200x - 250

= 64x⁴ + 208x³ + 60x²- 325x - 250

(X-5)²-(x-5)(7-2x)

= x² - 10x + 25 - (7x - 2x² - 35 + 10x

= x² - 10x + 25 - 7x + 2x² + 35 - 10x

= x² + 2x² - 10x - 10x - 7x + 25 + 35

= 3x² - 27x + 60

(X-1)(2x+5)-(x-1)²

= 2x² + 5x - 2x - 5 - (x² - 2x + 1)

= 2x² + 5x - 2x - 5 - x² + 2x - 1

= 2x² - x² + 5x - 5 - 1

= x² + 5x - 6

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