Liphetoho tsa boitsebiso ba lipolelo

Khatisong ena, re tla nahana ka mefuta ea mantlha ea phetoho e ts'oanang ea mantsoe a algebra, re tsamaisana le liforomo le mehlala ho bonts'a ts'ebeliso ea tsona ts'ebetsong. Sepheo sa liphetoho tse joalo ke ho nkela polelo ea pele sebaka ka e lekanang ka tsela e tšoanang.

Ho hlophisa bocha mantsoe le lintlha

Ka kakaretso, o ka hlophisa lipehelo bocha.

a + b = b + a

Sehlahisoang sefe kapa sefe, o ka hlophisa bocha lintlha.

a ⋅ b = b ⋅ a

mehlala:

• 1 + 2 = 2 + 1
• 128 ⋅ 32 = 32 ⋅ 128

Lipehelo tsa lihlopha (li-multipliers)

Haeba ho na le mantsoe a fetang 2 ka kakaretso, a ka hlophisoa ka masakaneng. Haeba ho hlokahala, o ka qala ka ho li fetola.

a + b + c + d = (a + c) + (b + d)

Sehlahisoang, u ka boela ua hlophisa lintlha.

a ⋅ b ⋅ c ⋅ d = (a ⋅ d) ⋅ (b ⋅ c)

mehlala:

• 15 + 6 + 5 + 4 = (15 + 5) + (6 + 4)
• 6 ⋅ 8 ⋅ 11 ⋅ 4 = (6 ⋅ 4 ⋅ 8) ⋅ 11

Keketso, ho ntsha, katiso kapa karohano ka palo e tshwanang

Haeba nomoro e tšoanang e eketsoa kapa e tlosoa likarolong tse peli tsa boitsebiso, joale e lula e le 'nete.

If a + b = c + debe (a + b) ± e = (c + d) ± e.

Hape, tekano e ke ke ea hatakeloa haeba likarolo tsa eona ka bobeli li atisa kapa li aroloa ka palo e tšoanang.

If a + b = c + debe (a + b) ⋅/: e = (c + d) ⋅/: e.

mehlala:

• 35 + 10 = 9 + 16 + 20 ⇒ (35 + 10) + 4 = (9 + 16 + 20) + 4
• 42 + 14 = 7 ⋅ 8 ⇒ (42 + 14) ⋅ 12 = (7 ⋅ 8) ⋅ 12

Ho Fetola Phapano ka Chelete (hangata ke Sehlahisoa)

Phapang efe kapa efe e ka hlahisoa e le kakaretso ea mantsoe.

a – b = a + (-b)

Leqheka le tšoanang le ka sebelisoa ho arola, ke hore, nkela sebaka khafetsa ka sehlahisoa.

a : b = a ⋅ b^-1

mehlala:

• 76 – 15 – 29 = 76 + (-15) + (-29)
• 42 : 3 = 42 ⋅ 3^-1

Ho etsa mesebetsi ea lipalo

O ka nolofatsa polelo ea lipalo (ka linako tse ling haholo) ka ho etsa ts'ebetso ea lipalo (ho eketsa, ho tlosa, ho atisa le ho arola), ho ela hloko tse amoheloang ka kakaretso. taelo ya ho phethahatsa:

• pele re phahamisa matla, ho ntša metso, ho bala logarithms, trigonometric le mesebetsi e meng;
• ebe re etsa liketso ka masakaneng;
• qetellong - ho tloha ho le letšehali ho ea ho le letona, etsa liketso tse setseng. Katiso le karohano li tla pele ho tlatsetso le ho fokotsa. Sena se sebetsa le ho lipolelo tse ka masakaneng.

mehlala:

• 14 + 6 ⋅ (35 – 16 ⋅ 2) + 11 ⋅ 3 = 14 + 18 + 33 = 65
• 20 : 4 + 2 ⋅ (25 ⋅ 3 – 15) – 9 + 2 ⋅ 8 = 5 + 120 – 9 + 16 = 132

Katoloso ea borakete

Masakana a polelo ea lipalo a ka tlosoa. Ketso ena e etsoa ho ea ka tse itseng - ho itšetlehile ka hore na ke matšoao afe ("plus", "minus", "ngatafatsa" kapa "arola") pele kapa ka mor'a masakaneng.

mehlala:

• 117 + (90 – 74 – 38) = 117 + 90 – 74 – 38
• 1040 - (-218 - 409 + 192) = 1040 + 218 + 409 - 192
• 22⋅(8+14) = 22 ⋅ 8 + 22 ⋅ 14
• 18 : (4 - 6) = 18: 4–18: 6

Ho Hlophisa Ntho e Tloaelehileng

Haeba mantsoe ohle a poleloana a na le ntho e tšoanang, e ka ntšoa ka har'a li-brackets, moo mantsoe a arotsoeng ke ntlha ena a tla sala. Thekniki ena e boetse e sebetsa ho liphapang tsa sebele.

mehlala:

• 3 ⋅ 5 + 5 ⋅ 6 = 5⋅(3+6)
• 28 + 56 – 77 = 7 ⋅ (4 + 8 - 11)
• 31x + 50x = x ⋅ (31 + 50)

Tšebeliso ea mekhoa e khutsufalitsoeng ea ho atisa

U ka boela ua sebelisa ho etsa liphetoho tse tšoanang tsa lipolelo tsa algebra.

mehlala:

• (31 + 4)² = 31² + 2 ⋅ 31 ⋅ 4 + 4² = 1225
• 26² - 7² = (26 – 7) ⋅ (26 + 7) = 627