Find an approximation of $(0.99{)}^5$ using the first three terms of its expansion.

Simplify the following: 

${\left(x^2-\sqrt{1-x^2}\right)}^4+{\left(x^2+\sqrt{1-x^2}\right)}^4$

Simplify the following:

$(x+\sqrt{x-1}{)}^6+(x-\sqrt{x-1}{)}^6$

Using binomial theorem, evaluate the following:

$(\sqrt{3}+\sqrt{2}{)}^3+(\sqrt{3}-\sqrt{2}{)}^3$.

Using binomial theorem, evaluate the following:

$(\sqrt{3}+1{)}^5-(\sqrt{3}-1{)}^5$

Using binomial theorem, evaluate the following:

$(3+\sqrt{2}{)}^5-(3-\sqrt{2}{)}^5$

Using binomial theorem, evaluate the following:

$(2+\sqrt{3}{)}^7+(2-\sqrt{3}{)}^7$