Answer:
a=[tex]\frac{2}{3}[/tex],b=[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
Original=[tex]\frac{(\sqrt{7} -1)^{2} }{7-1} -\frac{(\sqrt{7} +1)^{2} }{7-1}[/tex]
=[tex]\frac{(\sqrt{7} -1)-(\sqrt{7} +1)^{2} }{6}[/tex]
=[tex]\frac{(\sqrt{7}-1+\sqrt{7} -1)(\sqrt{7} -1 -\sqrt{7} -1)}{6}[/tex]
=[tex]\frac{-4\sqrt{7} +4}{6}[/tex]
=[tex]\frac{2}{3} -\frac{2}{3} \sqrt{7}[/tex]
Contrast factor
a+b√ 7=[tex]\frac{2}{3} -\frac{2}{3} \sqrt{7}[/tex]
and so a=[tex]\frac{2}{3}[/tex],b=[tex]-\frac{2}{3}[/tex]
