Cube of farqiga iyo farqiga u xabadaha: xeerarka gaabinta qaaciidooyinka dhufashada

Formula ama xukunka dhufashada Kooban loo isticmaalo xisaabta, si sax noqon - in algebra, waayo habka xisaabinta dhakhso tibaaxa aljabrada waaweyn. Iyaga qudhooda laga helay xeerarka qaaciidooyinka aljabra jira dhufashada dhowr ah bolinoomiyaal.

Isticmaalka qaaciidooyinka kuwaas bixiyaan xal operative filan dhibaatooyinka xisaabeed ee kala duwan, iyo sidoo kale waxay ka caawisaa si ay u hirgeliyaan fududeynta ee tibaaxaha. Xeerarka oggolaadaan in aad si ay u qabtaan manipulations aljabrada qaar ka mid ah khalkhalgelinta la tibaaxaha, waxaad raaci kartaa si aad u hesho dhinaca bidix ee hadal ah oo ku saabsan dhinaca midig ee, ama si loogu badalo dhinaca midigta ah (si aad u hesho muujinta on dhinaca bidix ee calaamadda la-mid).

Waxaa haboon in la ogaado formula la isticmaalay si loo yareeyo dhufashada ah, ee xasuusta, waa sida inta badan loo isticmaalaa in xalinta dhibaatooyinka iyo isleegyo. Hoos waxaa ku qoran ee qaaciidooyinka aasaasiga ah waxaa ka mid ahaa in liiskan, oo aan magacooda.

square ee wadarta

Si loo xisaabiyo square ee wadarta lagama maarmaanka ah si aad u hesho wadarta square ee mudada xilka ee koowaad, laba jeer wax soo saarka ah ee muddada ugu horeeyay ee labaad oo square labaad. In qaanuunkan foomka ra'yi dhiibashada, waxaa qoran sida soo socota: (a + c) ² = a² + s² + 2AS.

farqiga afar gees

Xisaabinta kala duwan yihiin afar gees, waxaa lagama maarmaan ah si ay u xisaabiso wadarta square ee tirada ugu horeysay, shaqada ugu horeysay double labaad (qaatay calaamada ka soo horjeeda) iyo square ee lambarka labaad. In this xukunka foomka ra'yi dhiibashada sida soo socota: (a - c) ² = a² - 2AS + s².

farqiga u of god

Farqiga Formula laba tiro, afar gees, uyeelaysaan kuwo wax soo saarka ee wadarta tirada kuwaas oo ay ku kala duwan yihiin. In this xukunka foomka ra'yi dhiibashada sida soo socota: a² - s² = (a + c) · (a - c).

lacagta saaraayo

Si loo xisaabiyo wadarta labada erey saaraayo, waxaad u baahan tahay si ay u xisaabiso wadarta muddo xileedka koowaad ee sedjibeke, square ah saddex jeer sheyga mudada xilka ee koowaad iyo labaad, saddex jeer sheyga mudada xilka ee koowaad iyo square labaad iyo saaraayo ereyga labaad. In this xukunka foomka ra'yi dhiibashada sida soo socota: (+ c a) ³ = a³ + + 3a²s 3as² s³ +.

Wadarta ee xabadaha ku

Sida laga soo xigtay caanaha, wadarta xabadaha ah waa loo siman yahay si wax soo saarka ee wadarta ka mid ah marka la eego qeyb ku lahaayeen farqiga afar gees. In this xukunka foomka ra'yi dhiibashada sida soo socota: a³ s³ + = (a + c) + (a² - Al + s²).

Tusaale. Waxaa lagama maarmaan ah si loo xisaabiyo mugga ay tiradaasi, taas oo la aasaasay by daray labada xabadaha. Waxaa la og yahay oo kaliya in ay qiimaha dhinacba.

Haddii qiimaha xisbiyada yaryar, ka dibna qabtaan xisaabin fudud.

Haddii dheer dhinac waxaa lagu muujiyay in tirada weyn, haddii ay taasi waxaa ka hawl yar in aad dalbato formula ah "Sum of xabadaha", taas oo si weyn u fududayn doonaa xisaabinta.

farqiga u dhexeeya saaraayo ah

Tibaaxda for farqiga u cubic waa: wadarta muddo xileedka koowaad ee heerka saddexaad, saddex jeer square ee alaabta xun ee muddada ugu horeeyay ee labaad, saddex jeer wax soo saarka ee muddo xileedka koowaad ee square ee labaad negative iyo xubinta labaad ee saaraayo ah. In farqi saaraayo hadal xisaabta waa sida soo socota: (a - c) ³ = a³ - 3a²s 3as² + - s³.

Farqiga of xabadaha

formula farqiga xabadaha waa ka duwan yahay wadarta xabadaha waa calaamad ka mid ah oo kaliya. Sayidka, xabadaha farqiga u - caanaha, si siman u farqiga u dhexeeya tirada xogta qeyb ku lahaayeen afar gees tiriya. In xisaabeed xabadaha hadal farqiga waa sida soo socota: a ³ - ³ = (Al) ⁽² + Al ah + ^2).

Tusaale. Waxaa lagama maarmaan ah si loo xisaabiyo mugga ay tiradaasi ka hadhay ka dib markii laga jarin ka xaddiga tirada volumetric saaraayo buluug ah midab huruud ah, kaas oo sidoo kale waa sedjibeke. Waxaa la og yahay oo kaliya in ay qiimaha qayb ka mid ah saaraayo ee waaweyn iyo kuwa yaryar.

Haddii qiimaha xisbiyada yaryar, xisaabinta waa mid fudud ilaa xad. Haddii dhererka dhinaca waxaa la muujiyay in tiro badan, waxaa lagama maarmaan ah in aad dalbato caanaha, xaq "xabadaha duwanaanshaha" (ama "Farqiga Cube") Tababaraha in aad bay u fududeeyo xisaabinta.