Complete the following sentence so that the resulting statement is true. The expression \( x^{3}-729 \) is called a The expression \( x^{3}-729 \) is called a sum of two cubes. sum of two squares. difference of two cubes.

2.3 Express \( \frac{1}{\sqrt{2}+1} \) in its simpl

ii) \( \frac{4 x^{2}+3 x+7}{x+1} \)

November 2018 ZIMSEC Paper 1 Solve the following simultancous equations: \[ \begin{array}{l}e^{2 x+y}=1 \\ 4 x-3 y=10\end{array} \]

d the exact value of the solution to the equation \( 2 e^{2 x}-7 e^{x}-4=0 \)

5. Separen en términos y resuelvan. a. \( \left(-\frac{4}{3}+\frac{1}{6}\right)-\left(-\frac{3}{2}\right)^{-2}+\sqrt[3]{\left(\frac{3}{4}+\frac{1}{8}\right)-} \) b. \( \left(\frac{3}{2}-\frac{1}{2}\right)^{2}+\sqrt[3]{-\frac{1}{64}}-0.5= \) c. \( \sqrt[3]{1-\frac{7}{8}}-\left(-\frac{2}{5}+\frac{1}{10}\right)^{-4}+0.3- \) d. \( -\left(\frac{8}{5}-\frac{6}{15}\right)-\sqrt[3]{1-\frac{31}{32}}+\left(\frac{7}{5}\right)^{2}= \)