Question

$$(x+7)^{2}-(x-5)^{82}$$

Evaluate

$-\left(x-5\right)^{82}+\left(x+7\right)^{2}$

Expand

$-x^{82}+410x^{81}-83025x^{80}+11070000x^{79}-1093162500x^{78}+85266675000x^{77}-5471278312500x^{76}+297012251250000x^{75}-13922449277343750x^{74}+572367359179687500x^{73}-20891408610058593750x^{72}+683718827238281250000x^{71}-20226681972465820312500x^{70}+544564514643310546875000x^{69}-13419625539424438476562500x^{68}+304178178893620605468750000x^{67}-6368730620585181427001953125x^{66}+123628300281947639465332031250x^{65}-2232177643979610157012939453125x^{64}+37594570845972381591796875000000x^{63}-592114490824065010070800781250000x^{62}+8740737721688578720092773437500000x^{61}-121178409323409841346740722656250000x^{60}+1580587947696650104522705078125000000x^{59}-19428060190437990868091583251953125000x^{58}+225365498209080694069862365722656250000x^{57}-2470352576522615300381183624267578125000x^{56}+25618471163938232744693756103515625000000x^{55}-251609984645821928742527961730957031250000x^{54}+2342575719116273129671812057495117187500000x^{53}-20692752185527079312101006507873535156250000x^{52}+173552115104420665198266506195068359375000000x^{51}-1382993417238352175798686221241950988769531250x^{50}+10477222857866304362111259251832962036132812500x^{49}-75497635299330722609331132844090461730957031250x^{48}+517698070623982097892556339502334594726562500000x^{47}-3379417961017660916798631660640239715576171875000x^{46}+21007192730650324617937440052628517150878906250000x^{45}-124384693799903237869366421364247798919677734375000x^{44}+701657247076377239263092633336782455444335937500000x^{43}-3771407703035527661039122904185205698013305664062500x^{42}+19316966283840507532151605118997395038604736328125000x^{41}-94285192575888191525978072604630142450332641601562500x^{40}+438535779422735774539432895835489034652709960937500000x^{39}-1943510840623488091708850333816371858119964599609375000x^{38}+8205934660410283053881812520558014512062072753906250000x^{37}-33002128525563094890611637310939840972423553466796875000x^{36}+126391130523433129368299887573812156915664672851562500000x^{35}-460800996700016617488593340112856822088360786437988281250x^{34}+1598697335489853570878793220799707341939210891723632812500x^{33}-5275701207116516783900017628639034228399395942687988281250x^{32}+16551219473306719322039270991808734834194183349609375000000x^{31}-49335365737741182594540134687122190371155738830566406250000x^{30}+139628393597380705456245664208836387842893600463867187500000x^{29}-374928093918892635021400394634838448837399482727050781250000x^{28}+954362420884453980054473731797770597040653228759765625000000x^{27}-2300695121775022987631320603441054117865860462188720703125000x^{26}+5247199400539526112141608393812930444255471229553222656250000x^{25}-11308619397714495931339673262527867336757481098175048828125000x^{24}+23000581825859991724758657483107526786625385284423828125000000x^{23}-44084448499564984139120760175956093007698655128479003906250000x^{22}+79496546474625381234480059333691315259784460067749023437500000x^{21}-134631248061865564993877519839315937133505940437316894531250000x^{20}+213700393748992960307742094983041170053184032440185546875000000x^{19}-317211521971161425456804672240451736797695048153400421142578125x^{18}+439215953498531204478652623102163943258346989750862121582031250x^{17}-565656909808714430010385953995211139044840820133686065673828125x^{16}+675411235592494841803445915218162554083392024040222167968750000x^{15}-744938862785839899047918288843561640533152967691421508789062500x^{14}+755735078188533230918177974189120504888705909252166748046875000x^{13}-701754001175066571566879547461326183110941201448440551757812500x^{12}+593031550288788652028348913347599591361358761787414550781250000x^{11}-453010212026157998077210975473860798956593498587608337402343750x^{10}+310280967141204108272062311968397807504516094923019409179687500x^{9}-188684371910191687462740595115917585644638165831565856933593750x^{8}+100631665018768899980128317395156045677140355110168457031250000x^{7}-46343529942854098675059093537242915772367268800735473632812500x^{6}+18055920756956142340932114365159577573649585247039794921875000x^{5}-5787154088767994340042344347807556914631277322769165039062500x^{4}+1465102300953922617732239075394318206235766410827636718750000x^{3}-274706681428860490824794826636434663669206202030181884765624x^{2}+33914405114674134669727756374868476996198296546936035156264x-2067951531382569187178521730174907133914530277252197265576$