Amagaqa umahluko kunye umahluko Cubes: imithetho ungayiqondiyo ifomula phindo

Formula okanye ulawulo phindo esishwankathelweyo ezisetyenziswa arithmetic, ukuba ngqo - zealgebra, kuba ngokukhawuleza inkqubo yokubala amabinzana ezinkulu algebra. Ngokwabo lufumaneka imithetho ifomula algebra ekhoyo ukuze ukuphinda-polynomials eziliqela.

Ukusebenzisa le fomyula zinika isisombululo ngokwaneleyo operative iingxaki ezahlukeneyo zezibalo, kwaye kunceda ukuphumeza lula amabinzana. Imithetho akuvumela wenze zazo aljibra ukuxhaphaza amanye ngamazwi, unako ukulandela ukufumana kwicala lasekhohlo ibinzana kwicala lasekunene-lesandla, okanye ukuguqula kwicala lasekunene-lesandla (ukufumana ibinzana kwicala lasekhohlo kophawu olulinganayo).

Kuyinto elula ukuba ukwazi Ifomula esetyenzisiweyo ukunciphisa phindo, kwimemori, njengoko zisetyenziswa xa usombulula iingxaki kwizibalo. Apha ngezantsi kukho iifomyula ezisisiseko zibandakanyiwe kolu luhlu, igama labo.

Kwisikweri wamcacisela inani

Ukubala isikweri isixa eziyimfuneko ukufumana inani kwisikweri kwekota yokuqala, kabini imveliso kwekota yokuqala ukuya yesibini kunye isikwere yesibini. Kulo mthetho fomu nkulumo ibhalwe ngolu hlobo lulandelayo: (a + c) ² = a² + s² + 2AS.

umahluko kabini

Ukubala umahluko leskwere esingu, kuyimfuneko ukuba Ungabala udibaniso isikweri inani yokuqala, umsebenzi wokuqala kabini yesibini (ezithathwe umqondiso malungana) kunye isikweri inani lesibini. Kulo mthetho fomu binzana ngolu hlobo lulandelayo: (a - c) ² = a² - 2AS + s².

umahluko wezikweri

umahluko formula amanani amabini, 'ophindwe kabini, ilingana imveliso wamcacisela inani la manani kwi umahluko lwabo. Kulo mthetho fomu binzana ngolu hlobo lulandelayo: a² - s² = (a + c) · (a - c).

imali cube

Ukuze Ungabala udibaniso amagama amabini cube, kufuneka Ungabala udibaniso kwikota yokuqala ityhubhu, isikwere izihlandlo ezithathu imveliso kwekota yokuqala kunye yesibini, izihlandlo ezithathu imveliso kwekota yokuqala kunye isikwere yesibini cube kwekota yesibini. Kulo mthetho fomu binzana ngolu hlobo lulandelayo: (a + c) ³ = a³ + + 3a²s 3as² s³ +.

Umdibaniso ityhubhu

Ngokutsho wokubala, umdibaniso ityhubhu lilingana imveliso wamcacisela inani la magama kwi inxalenye umahluko lwabo ophindwe kabini. Kulo mthetho fomu binzana ngolu hlobo lulandelayo: a³ s³ + = (a + c) + (a² - Al + s²).

Umzekelo. Kuyimfuneko ukuba ukubala umthamo mzobo, oluthi luqokelelane ngokudibanisa iityhubhu ezimbini. Kwakusazeka kuphela ixabiso macala zabo.

Ukuba ixabiso zamaqela amancinci, ngoko ukwenza izibalo elula.

Ukuba ubude emacaleni zibonakaliswa amanani enkulu, kule meko kulula ukusebenzisa indlela "Sum yeetyhubhu", nto leyo eza lula kakhulu izibalo.

umahluko phakathi tyhubhu

Ibinzana ngumehluko cc ngu: umdibaniso kwekota yokuqala udidi lwesithathu, izihlandlo ezithathu isikweri imveliso ezingakhiyo kwekota ukuya yesibini, izihlandlo ezithathu imveliso kwekota yokuqala isikweri yesibini ezimbi kunye yesibini ilungu cube yokuqala. Xa umahluko ibinzana cube zezibalo yile ilandelayo: (a - c) ³ = a³ - 3a²s 3as² + - s³.

Umahluko utshintshelwe

Ifomula umahluko tyhubhu yahlukile kwisixa se ityhubhu na umqondiso omnye kuphela. Ngenxa yoko, iityhubhu mahluko - formula, lingana umahluko phakathi kwamanani ze data ngokukokwabo kabini sum. Xa umahluko ibinzana iityhubhu zezibalo ngolu hlobo lulandelayo: ^i-3 - ³ = (Al) (+ Al ² + ^2).

Umzekelo. Kuyimfuneko ukuba ukubala umthamo isafobe eliseleyo emva kokuphungula ukusuka ubungakanani blue nani cube ngokomthamo imibala etyheli, nto leyo nayo wakhe ityhubhu. Kwakusazeka kuphela ixabiso inxalenye cube ezincinane nezinkulu.

Ukuba ixabiso zamaqela amancinci, ukubala ilula. Ukuba ubude ecaleni zibonakaliswa amanani ebalulekileyo, kuyimfuneko ukusebenzisa ifomula, esithi: "iityhubhu Umahluko" (or "umahluko Cube") umphathi ukuba lula kakhulu ukubala.