Let a and b and 2x2 - 8x + 7 = x^2 - 4x + 13. be the roots of the quadratic. Compute a^3*b + a*b^3
\(Compute\ a^3b + ab^3\)
\(2x^2 - 8x + 7 = x^2 - 4x + 13\\ x^2-4x-6=0\\ x=2\pm\sqrt{4+6}\\ x\in \{2-\sqrt{10}\ ,\ 2+\sqrt{10}\}=\{a,b\}\)
\(a^3b + ab^3\\ =(2-\sqrt{10})^3(2+\sqrt{10})+(2-\sqrt{10})(2+\sqrt{10})^3\\ \color{blue}=-168\)
+1839 
