Question

if x<3 find the coefficient of x^5 in the expansion of (3-x)^¯8

Answer 1

the term is

$\binom{8}{5} c \times \: {3}^{8 - 5} \: \times {x}^{5}$
$\frac{8}{5} \times c = 56$
so coefficient is 56*27= 1512