Expand the expression using the Binomial Theorem:
(2x+1)5=\displaystyle {\left({2}{x}+-{1}\right)}^{{5}}= x5+\displaystyle {x}^{{5}}+ x4+\displaystyle {x}^{{4}}+ x3+\displaystyle {x}^{{3}}+ x2+\displaystyle {x}^{{2}}+ x+\displaystyle {x}+