Answer
$x^5+10x^4+40x^3+80x^2+80x+32$
Work Step by Step
We could do this by applying the 5th row of Pascal's triangle.
The coefficients are $[1,5,10,10,5,1]$
Multiplying this by the expanded powers $[x^5,2^1*x^4,2^2*x^3,2^3*x^2,2^4*x,2^5]$
After multiplying respective terms we get:
$x^5+10x^4+40x^3+80x^2+80x+32$
