`8x^2-18=2(4x^2-9)=2(2x-3)(2x+3)`
`2x^2+3x=x(2x+3)`
`4x-6=2(2x-3)`
`⇒MTC: 2x(2x-3)(2x+3)`
`(5x^2+1)/(8x^2-18)=(5x^3+x)/[2x(2x-3)(2x+3)]=(5x^2+1)/[2(2x-3)(2x+3)]`
`(3x)/(2x^2+3x)=(12x^2-18x)/[2x(2x-3)(2x+3)]=(12x-18)/[2(2x-3)(2x+3)]`
`(-5)/(4x-6)=(-10x^2-15x)/[2x(2x-3)(2x+3)]=(-10x-15)/[2(2x-3)(2x+3)]`