Bonjour
a. (5x + 7) (x - 3) - (x - 3) (x + 2)
= (x - 3) [(5x + 7) - (x + 2)]
= (x - 3) (5x + 7 - x - 2)
= (x - 3) (4x + 5)
b. (x - 3) (2x - 5) + 2x - 6
(x - 3) (2x - 5) + 2 (x - 3)
= (x - 3) (2x - 3)
c. (x - 3)² + x - 3
= (x - 3) (x - 2)
d. (x + 3) (x - 3) - 5 (x - 3)²
= 2 (x - 3) (2x - 9)