(4х-3)/(3-2х) - (4+5х)/(3+2х) - (3+х-10x^2)/(4x^2-9)

Question

(4х-3)/(3-2х) - (4+5х)/(3+2х) - (3+х-10x^2)/(4x^2-9)

Answer 1

Общий знаменатель
1. (4x-3)(3+2x)-(4+5x)(3-2x)/(3-2x)(3+2x)=
(12x+8х²-9-6x)-(12-8x+15x-10х²))/(3-2x)(3+2x)=(6x+8х²-9-12-7x+10х²)/(3-2x)(3+2x)=
=(18х²-x-21)/(3-2x)(3+2x)
=
2. (18х²-x-21+3+x-10х²)/(3-2x)(3+2x)=
=(8х²-18)/(3-2x)(3+2x)=
=2(4х²-9)/-(4х²-9)=
= -2