Solve f(x)=(1+2x)60(1-2x)^40

$$f ( x ) = ( 1 + 2 x ) 60 ( 1 - 2 x ) ^ { 40 }$$

Evaluate

$$60\left(2x+1\right)\left(1-2x\right)^{40}$$

Expand

$$131941395333120x^{41}-2572857208995840x^{40}+24409158136627200x^{39}-150083337191424000x^{38}+672158945850163200x^{37}-2336261548151930880x^{36}+6556604989974773760x^{35}-15261063338734387200x^{34}+30027555180380160000x^{33}-50646476404241203200x^{32}+73987895964456714240x^{31}-94326560006634209280x^{30}+105496810533735628800x^{29}-103826046566006784000x^{28}+89982573690539212800x^{27}-68525190733564477440x^{26}+45553677930835476480x^{25}-26051939993124864000x^{24}+12405685711011840000x^{23}-4505222705577984000x^{22}+825957496022630400x^{21}+412978748011315200x^{20}-563152838197248000x^{19}+387677678469120000x^{18}-203530781196288000x^{17}+88972027208663040x^{16}-33459565787873280x^{15}+10984200889958400x^{14}-3168519487488000x^{13}[phone]x^{12}-179913635266560x^{11}[phone]x^{10}-6037530470400x^{9}[phone]x^{8}-113703782400x^{7}[phone]x^{6}-1087906560x^{5}[phone]x^{4}-4368000x^{3}+177600x^{2}-4680x+60$$