Use the binomialsl theorem to find the binomial binomialsion of the expression
(x-3)^5
for n = 5
coefs are
1 5 10 10 5 1
for example
C(5,3) = 5!/[ 3!(5-3)!] = 5*4/2 = 10
so
1 x^5 + 5 x^4(-3) +10 x^3(-3)^2 +10x^2(-3)^3 +5x(-3)^4 +1 (-3)^5
= x^5 -15x^4+90x^3-270x^2+405x-243