Solve (x+1)^100

$$( x + 1 ) ^ { 100 }$$

Expand

$$x^{100}+100x^{99}+4950x^{98}+161700x^{97}+3921225x^{96}[phone]x^{95}[phone]x^{94}[phone]x^{93}[phone]x^{92}[phone]x^{91}[phone]x^{90}[phone]x^{89}+1050421051106700x^{88}+7110542499799200x^{87}+44186942677323600x^{86}+253338471349988640x^{85}+1345860629046814650x^{84}+6650134872937201800x^{83}+30664510802988208300x^{82}+132341572939212267400x^{81}+535983370403809682970x^{80}+2041841411062132125600x^{79}+7332066885177656269200x^{78}+24865270306254660391200x^{77}+79776075565900368755100x^{76}+242519269720337121015504x^{75}+699574816500972464467800x^{74}+1917353200780443050763600x^{73}+4998813702034726525205100x^{72}+12410847811948286545336800x^{71}+29372339821610944823963760x^{70}+66324638306863423796047200x^{69}+143012501349174257560226775x^{68}+294692427022540894366527900x^{67}+580717429720889409486981450x^{66}+1095067153187962886461165020x^{65}+1977204582144932989443770175x^{64}+3420029547493938143902737600x^{63}+5670048986634686922786117600x^{62}+9013924030034630492634340800x^{61}+13746234145802811501267369720x^{60}+20116440213369968050635175200x^{59}+28258808871162574166368460400x^{58}+38116532895986727945334202400x^{57}+49378235797073715747364762200x^{56}+61448471214136179596720592960x^{55}+73470998190814997343905056800x^{54}+84413487283064039501507937600x^{53}+93206558875049876949581681100x^{52}+98913082887808032681188722800x^{51}+100891344545564193334812497256x^{50}+98913082887808032681188722800x^{49}+93206558875049876949581681100x^{48}+84413487283064039501507937600x^{47}+73470998190814997343905056800x^{46}+61448471214136179596720592960x^{45}+49378235797073715747364762200x^{44}+38116532895986727945334202400x^{43}+28258808871162574166368460400x^{42}+20116440213369968050635175200x^{41}+13746234145802811501267369720x^{40}+9013924030034630492634340800x^{39}+5670048986634686922786117600x^{38}+3420029547493938143902737600x^{37}+1977204582144932989443770175x^{36}+1095067153187962886461165020x^{35}+580717429720889409486981450x^{34}+294692427022540894366527900x^{33}+143012501349174257560226775x^{32}+66324638306863423796047200x^{31}+29372339821610944823963760x^{30}+12410847811948286545336800x^{29}+4998813702034726525205100x^{28}+1917353200780443050763600x^{27}+699574816500972464467800x^{26}+242519269720337121015504x^{25}+79776075565900368755100x^{24}+24865270306254660391200x^{23}+7332066885177656269200x^{22}+2041841411062132125600x^{21}+535983370403809682970x^{20}+132341572939212267400x^{19}+30664510802988208300x^{18}+6650134872937201800x^{17}+1345860629046814650x^{16}+253338471349988640x^{15}+44186942677323600x^{14}+7110542499799200x^{13}+1050421051106700x^{12}[phone]x^{11}[phone]x^{10}[phone]x^{9}[phone]x^{8}[phone]x^{7}[phone]x^{6}[phone]x^{5}+3921225x^{4}+161700x^{3}+4950x^{2}+100x+1$$

Evaluate

$$\left(x+1\right)^{100}$$