Question

Use the binomial series to expand the function as a power series 3/((6+x)^3)

Answer 1

I know bionomial theorem
pascal's triangle would be eseir though

pascal's triangle
1              0
1 1            1
1 2 1        2
1 3 3 1       3
1 4 6 4 1    4

those are the coefieicnets
in (a+b)^3
1a^3+3a^2b+3ab^2+1b^3 so

(6+x)^3=6^3+3(6^2)x+3(6)x^2+1x^3=

and this is all under 3
$\frac{3}{216+108x+18x^{2}+x^{3}}$