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Sagot :

Bonjour !

a. 9x + 15

= 3 * 3x + 3 * 5

= 3(3x + 5)

b. 5x² - 15x

= 5 * x² - 5 * 3x

= 5(x² - 3x)

c. (x + 5)(x + 1) - 4x(x + 1)

= (x + 1)[(x + 5) - 4x]

= (x + 1)(x + 5 - 4x)

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

d. (5x + 3)² + 5(4x - 2)(5x + 3)

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

= (5x + 3)(5x + 3 + 20x - 10)

= (5x + 3)(25x - 7)

e. (3x + 3) + 4x(x + 1)

= 3(x + 1) + 4x(x + 1)

= (x + 1)(3 + 4x)

f. (2x + 1)² + (8x + 4)

= (2x + 1)(2x + 1) + 4(2x + 1)

= (2x + 1)(2x + 1 + 4)

= (2x + 1)(2x + 5)

J'espère t'avoir aidé. Bon courage !

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