Simplify the following and express it in the form $(a+ib):$

$(1+i{)}^3-(1-i{)}^3$

Express the following in the form $\left(\frac{\mathrm{a}+\mathrm{ib}}{c}\right)$, then find $c=$

$\frac{1}{(4+3i)}$

Express the following in the form $\frac{(a+ib)}{c}$, then find $c=$

$\frac{(3+4i)}{(4+5i)}$

Express the following in the form $(a+ib)$, then $a=$

$\frac{(5+\sqrt{2}i)}{(1-\sqrt{2}i)}$

Express the following in the form $\frac{(a+ib)}{c}$, then $c=$

$\frac{(-2+5i)}{(3-5i)}$

Express the following in the form $\frac{(a-ib)}{c}$, then $c=$

$\frac{(3-4i)}{(4-2i)(1+i)}$

Express the following in the form $\frac{(a-ib)}{c}$, then $c=$

$\frac{(3-2i)(2+3i)}{(1+2i)(2-i)}$

Express the following in the form $\frac{a+ib}{c}$, then find $c=$

$\frac{(2+3i{)}^2}{(2-i)}$

Express the following in the form $(\mathrm{a}+\mathrm{ib})$ then $a=$

$\frac{(1-i{)}^3}{\left(1-i^3\right)}$