Answer
$x^5+10x^4+40x^3+80x^2+80x+32$
Work Step by Step
We are given the expression:
$(x+2)^5$
Expand the expression using the Binomial Theorem:
$(x+2)^5=\binom{5}{0}x^52^0+\binom{5}{1}x^42^1+\binom{5}{2}x^32^2+\binom{5}{3}x^22^3+\binom{5}{4}x^12^4+\binom{5}{5}x^02^5$
$=x^5+5x^4(2)+10x^3(4)+10x^2(8)+5x(16)+32$
$=x^5+10x^4+40x^3+80x^2+80x+32$
