Упростить:2х^2+х-3 / 6х^2+13х +6

ax²+bx+c =a(x -x₁)(x -x₂) 2х²+х-3=0 D=1²-4*2*(-3)=1+24=25       [latex] x_{1} = \frac{-1-5}{2*2} = \frac{-6}{4} =- \frac{3}{2} [/latex] [latex] x_{2}= \frac{-1+5}{2*2} = \frac{4}{4} =1[/latex] [latex]2 x^{2} +x-3=2(x+ \frac{3}{2} )(x-1)=(2x+3)(x-1) [/latex] 6x²+13x+6=0 D=13²-4*6*6=169-144=25 [latex] x_{1} = \frac{-13-5}{2*6} = \frac{-18}{12} =- \frac{3}{2} [/latex] [latex]x_{2} = \frac{-13+5}{2*6} = \frac{-8}{12} =- \frac{2}{3} [/latex] [latex]6x^2+13x+6=6(x+ \frac{3}{2} )(x+ \frac{2}{3} )=(2x+3)(3x+2)[/latex] [latex] \frac{2 x^{2} +x-3}{6x^2+13x+6} = \frac{(2x+3)(x-1)}{(2x+3)(3x+2)} = \frac{x-1}{3x+2} [/latex]