If α and β are the roots of the equation, 7x2 -3x - 2 = 0,then the value of α1−α2+β1−β2 is equal to

Given quadratic equation 7x2 -3x- 2 =0 has roots α and β.So, α+β=37 and αβ=−27.Now, α1−α2+β1−β2=α−αβ2+β−βα21−α2+β2+α2β2=(α+β)−αβ(α+β)1−(α+β)2−2αβ+(αβ)2=37+27371−372+47+449=21+649−37+4=2716