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147 Développer les expressions suivantes.
a. A = 5x (x + 3) - 7(2-5x)
b. B= (4x-1)²
c. C= (3x + 5)²-(4-3x) (4+ 3x)

Sagot :

AYUDA

A = 5x (x + 3) - 7(2-5x)

  = 5x*x + 5x*3 - 7*2 - 7*(-5x)

  = 5x² + 15x - 14 + 35x

  = 5x²+50x - 14

b. B= (4x-1)² = (4x)² - 2*4x*1 + 1² = 16x² - 8x + 1

c. C= (3x + 5)²- (4-3x) (4+ 3x)

      = (3x)²+2*3x*5 + 5² - [(4)² - (3x)²]

      = 9x² + 30x + 25 - 16 + 9x²

      = 18x² + 30x + 9

puisque (a+b)² = a²+2ab+b²

que (a-b)²= a²-2ab+b²

et (a+b) (a-b)² = a²-b²

Bonjour,

a. A = 5x (x + 3) - 7(2-5x)

= 5x² +15x -14 +35x

= 5x² + 50x-14

b. B= (4x-1)²

identité remarquable :

= 16x² -8x +1

c. C= (3x + 5)²-(4-3x) (4+ 3x)

2 identités remarquables :

9x² +30x +25 -(16 -9x²)

= 9x² +30x +25 -16 + 9x²

= 18x²+30x +9

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