L6 FM Homework

Total: 10 marks. Show all working out. Those not showing mathematical rigour will be penalised.

1. Factorise fully $6x^2-7x-20$

   [2 marks]

2. Simplify as far as possible: \[ \frac{8}{4^{5x-1}}=\sqrt{32^{3+x}} \]

   [4 marks]

3. Simplify as far as possible: \[ \frac{26}{\sqrt {13}} - \frac{8}{\sqrt{13} - \sqrt{11}} \]

   [4 marks]