Factor and reduce to the simplist form: 6x^+11xy-10y^2/3x^2+10xy-8y^2

(6x^2+11xy-10y^2) / (3x^2+10xy-8y^2)

(6x^2+15xy-4xy-10y^2) / (3x^2+12xy-2xy-8y^2)

(3x (2x+5y) - 2y (2x+5y)) / (3x (x+4y) - 2y (x+4y))

((3x-2y) (2x+5y)) / ((3x-2) (x+4y)) the (3x-2y) s cancel leaving:

(2x+5y) / (x+4y)