bonjour vous pouvez m'aider à développer et factoriser ces expressions ​

Réponse :

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Developper et factoriser les expressions :

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

A = x^2 + 5x + 3x + 15 + x^2 + 5x + 7x + 35

A = 2x^2 + 20x + 50

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

A = (x + 5)(2x + 10)

A = (x + 5) * 2(x + 5)

A = 2(x + 5)(x + 5)

A = 2(x + 5)^2

B = (x + 1)(2x + 3) + (2x + 2)(x - 5)

B = 2x^2 + 3x + 2x + 3 + 2x^2 - 10x + 2x - 10

B = 4x^2 - 3x - 7

B = (x + 1)(2x + 3) + 2(x + 1)(x - 5)

B = (x + 1)(2x + 3 + 2(x - 5))

B = (x + 1)(2x + 3 + 2x - 10)

B = (x + 1)(4x - 7)

C = (x - 2)(x + 7) + (-x + 2)(4x + 3)

C = x^2 + 7x - 2x - 14 - 4x^2 - 3x + 8x + 6

C = -3x^2 + 10x - 8

C = (x - 2)(x + 7) - (x - 2)(4x + 3)

C = (x - 2)(x + 7 - 4x - 3)

C = (x - 2)(-3x + 4)

D = (x + 4)(x + 7) + x^2 - 16

D = x^2 + 7x + 4x + 28 + x^2 - 16

D = 2x^2 + 11x + 12

D = (x + 4)(x + 7) + (x - 4)(x + 4)

D = (x + 4)(x + 7 + x - 4)

D = (x + 4)(2x + 3)

E = (x + 1)(2x - 3) + (x + 1)(4x - 7)

E = 2x^2 - 3x + 2x - 3 + 4x^2 - 7x + 4x - 7

E = 6x^2 - 4x - 10

E = (x + 1)(2x - 3 + 4x - 7)

E = (x + 1)(6x - 10)

E = (x + 1) * 2(3x - 5)

E = 2(x + 1)(3x - 5)

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

F = 2x^2 + 18x - 3x - 27 + 8x^2 - 12x + 2x - 3

F = 10x^2 + 5x - 30

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

F = (2x - 3)(5x + 10)

F = (2x - 3) * 5(x + 2)

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