Find, in ascending powers of x, the first three terms in each of the following expansions.

${\left(1+{\mathrm{x}}^2\right)}^{12}$

Find, in ascending powers of x, the first three terms in each of the following expansions.

${\left(3+\frac{\mathrm{x}}{2}\right)}^7$

Find, in ascending powers of x, the first three terms in each of the following expansions.

${\left(2-\mathrm{x}\right)}^{13}$

Find, in ascending powers of x, the first three terms in each of the following expansions.

${\left(2+{\mathrm{x}}^2\right)}^8$

Find, in ascending powers of x, the first three terms in each of the following expansions.

${\left(2+\frac{{\mathrm{x}}^2}{2}\right)}^9$

Find the coefficient of x³ in each of the following expansions.

${\left(1-\mathrm{x}\right)}^9$

Find the coefficient of x³ in each of the following expansions.

${\left(1+3\mathrm{x}\right)}^{12}$

Find the coefficient of $x^3$ in each of the following expansions.

${\left(2+\frac{\mathrm{x}}{4}\right)}^7$

Find the coefficient of $x^3$ in each of the following expansions.

${\left(3-\frac{\mathrm{x}}{3}\right)}^{10}$