Cube da bambanci da bambanci cubes: dokoki na dabarbari multiplication acronym

Formula ko nata multiplication mulki amfani a ilmin lissafi, su zama daidai - a aljabara, domin sauri lissafi aiwatar manyan algebraic maganganu. Da kansu suke samu daga data kasance dabarbari aljabara sharudda multiplication da dama polynomials.

Amfani da wadannan dabarbari samar da isasshen gudanar da bayani na daban-daban ilmin lissafi da matsaloli, da kuma taimaka wajen aiwatar da simplification na maganganu. Dokokin ba ka damar yin algebraic jan wasu magudi tare da maganganu, za ka iya bi don samun na gefen hagu na magana a kan hakkin-hannu gefe, ko a maida da dama-hannu gefe (don samun magana a gefen hagu na daidaita alamar).

Shi ne m sani da dabara amfani don rage multiplication, a cikin memory, kamar yadda suka sukan yi amfani da a warware matsalolin da lissafai. Kasa su ne ainihin dabarbari hada a cikin wannan jerin, kuma a ambaci sunansa.

A square na Naira Miliyan Xari

Don lissafi da square daga cikin Naira Miliyan Xari zama dole a samu Naira Miliyan Xari da square na farko ambatacce, sau biyu da samfurin na farko lokaci zuwa na biyu da kuma na biyu square. A wannan mulkin form magana aka rubuta kamar haka: (a + c) ² = a² + s² + 2AS.

Squared bambanci

Don lissafta da Squared bambanci, shi wajibi ne yin lissafi da Naira Miliyan Xari da square na farko number, na farko biyu aiki ne na biyu (dauka tare da m alamar) da kuma square na biyu lambar. A wannan mulkin form magana kamar haka: (a - c) ² = a² - 2AS + s².

bambanci na murabba'ai

Formula bambanci na biyu lambobi, Squared, daidai da samfurin na Jimlar wadannan lambobin a kan su bambanci. A wannan mulkin form magana kamar haka: a² - s² = (a + c) · (a - c).

shigen sukari adadin

Don lissafi da Naira Miliyan Xari biyu sharuddan shigen sukari, kana bukatar yin lissafi da Naira Miliyan Xari da farko lokaci na wani shigen sukari, wani square har sau uku da samfurin na farko ambatacce, kuma a karo na biyu, har sau uku da samfurin na farko ambatacce, kuma na biyu square da shigen sukari na wa'adi na biyu. A wannan mulkin form magana kamar haka: (a + c) ³ = a³ + + 3a²s 3as² s³ +.

A Naira Miliyan Xari da cubes

Bisa ga dabara, Naira Miliyan Xari da cubes ne daidaita da samfurin na Jimlar wadannan sharuddan a kan su kashi Squared bambanci. A wannan mulkin form magana kamar haka: a³ s³ + = (a + c) + (a² - Al + s²).

Misali. Wajibi ne yin lissafi da girma daga cikin adadi, wadda aka kafa ta ƙara biyu cubes. An sani kawai ga darajar sãsanninsu.

Idan darajar da kananan jam'iyyun, sa'an nan ku yi lissafin kawai.

Idan tsawo daga cikin bangarorin da aka bayyana a ƙato lambobi, a cikin wannan yanayin yana da sauki ga amfani da dabara "Sum of cubes", wanda zai ƙwarai rage wuya da lissafin.

bambanci tsakanin shigen sukari

The magana ga cubic bambanci ne: Naira Miliyan Xari da farko lokaci na uku mataki, sau uku da square na korau samfurin na farko lokaci zuwa na biyu, har sau uku da samfurin na farko lokaci na square na biyu korau da kuma na biyu memba na shigen sukari. A wani ilmin lissafi magana shigen sukari bambanci ne kamar haka: (a - c) ³ = a³ - 3a²s 3as² + - s³.

Bambanci na cubes

cubes bambanci dabara ne daban-daban daga Naira Miliyan Xari da cubes daya ne kawai alamar. Saboda haka, bambancin cubes - dabara, sunã daidaita da bambanci tsakanin lambobi na bayanai a kan su kashi Squared jimla. A wani ilmin lissafi magana cubes bambanci ne kamar haka: a ³ - ³ = (Al) ⁽² + Al + ^2).

Misali. Wajibi ne yin lissafi da girma na wani adadi da ya rage bayan deducting daga adadin blue shigen sukari volumetric adadi na rawaya launi, wanda shi ne ma wani shigen sukari. An sani kawai ga darajar da wani ɓangare na kananan da manyan shigen sukari.

Idan darajar kananan jam'iyyu, da lissafi ne quite sauki. Idan gefen tsawo suna bayyana a cikin lambobi masu muhimmanci, shi wajibi ne su yi amfani da dabara, cancantan "Banbancin cubes" (ko "Cube bambanci") sarrafa cewa ƙwarai rage wuya da lissãfi.