[math] imat 2022 q55

hi

you need to factorise
(2x²-9x-18)/x²-6x - (3x²+8x-3)/x²+3x
=(2x+3)(x-6)/x(x-6) - (3x-1)(x+3)/x(x+3)
=(2x+3)/x - (3x-1)/x
=(2x+3-3x+1)/x
=4/x - 1