- Prove that \[\frac{1}{(2-\sqrt{3})^3}+\frac{1}{(2+\sqrt{3})^3}=52.\]

Could we write these two fractions as a single fraction?

What happens if we expand \((a+b)^3 + (a-b)^3?\)

- Prove that \[\frac{1}{(2-\sqrt{3})^3}+\frac{1}{(2+\sqrt{3})^3}=52.\]

Could we write these two fractions as a single fraction?

What happens if we expand \((a+b)^3 + (a-b)^3?\)