Answer: VI)
[tex]\frac{x - 1}{3(x+ 1)}[/tex]
VII)
[tex]\frac{2(m - 7) \times (m + 7)}{n(n - 7)}[/tex]
Step-by-step explanation:
VI)
[tex] \frac{{(x + 1)}^{2}}{6} \times \frac{2}{{x}^{2} - 1} [/tex]
[tex] = \frac{2{(x - 1)}^{2} }{6(x - 1) \times (x + 1)} [/tex]
[tex] = \frac{x - 1}{3(x+ 1)} [/tex]
VII)
[tex] \frac{{m}^{2} - 49}{3n} \div \frac{2n - 14}{6} [/tex]
[tex] = \frac{(m - 7) \times (m + 7)}{3n} \times \frac{6}{2(n - 7)} [/tex]
[tex] = \frac{2(m - 7) \times (m + 7)}{n(n - 7)} [/tex]
Can't type fast enough, LaTex is hard :(
