pourriez-vous m’aider pour cet exercice de factorisation s’il vous plaît?

Bonjour ;

a.

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

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

= (2x + 5)(4x - 1) .

b.

(2x + 3)(x - 6) - (x - 6)²

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

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

= (x - 6)(x + 9) .

c.

4(3z - 5)² - 2z(3z - 5)

= 4(3z - 5)(3z - 5) - 2z(3z - 5)

= 2(3z - 5) x 2(3z - 5) - 2z(3z - 5)

= 2(3z - 5)(6z - 10) - 2z(3z - 5)

= 2(3z - 5)(6z - 10 - z)

= 2(3z - 5)(5z - 10)

= 2(3z - 5) x 5(z - 2)

= 10(3z - 5)(z - 2) .

d.

(3t - 5)² + (3t - 5)(3t + 5)

= (3t - 5)(3t - 5) + (3t - 5)(3t + 5)

= (3t - 5)(3t - 5 + 3t + 5)

= (3t - 5) x 6t

= 6t(3t - 5) .