a) (4x2 – 9y2) : (2x – 3y)
= (2x – 3y).(2x + 3y): (2x – 3y)
= 2x + 3y
b) (27x3 – 1) : (3x – 1)
= (3x – 1)(9x2 – 3x + 1) : (3x – 1)
= 9x2 – 3x + 1
c) ( 8x3 + 1): (4x2 – 2x + 1)
= (2x + 1)(4x2 – 2x + 1): (4x2 – 2x + 1)
= 2x + 1
d) ( x2 – 3x + xy – 3y): (x + y)
= [ x( x – 3) + y(x – 3)] :(x + y)
= (x – 3)(x + y): (x + y)
= x – 3