Algebra Formula – बीजगणित सूत्र

बीजगणित सूत्र (Algebra Formula)

  • a2 – b2 = (a – b)(a + b)
  • (a+b)2 = a2 + 2ab + b2
  • a2 + b2 = (a – b)2 + 2ab
  • (a – b)2 = a2 – 2ab + b2
  • (a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + 2bc
  • (a – b – c)2 = a2 + b2 + c2 – 2ab – 2ac + 2bc
  • (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
  • (a – b)3 = a3 – 3a2b + 3ab2 – b3
  • a3 – b3 = (a – b)(a2 + ab + b2)
  • a3 + b3 = (a + b)(a2 – ab + b2)
  • (a + b)3 = a3 + 3a2b + 3ab2 + b3
  • (a – b)3 = a3 – 3a2b + 3ab2 – b3
  • (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4)
  • (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4)
  • a4 – b4 = (a – b)(a + b)(a2 + b2)
  • a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)
  • प्राकृतिक संख्या (Natural Numbers) – an – bn = (a – b)(an-1 + an-2 +…+ bn-2a + bn-1)
  • सम संख्या (Even) –  (n = 2k), an + bn = (a + b)(an-1 – an-2b +…+ bn-2a – bn-1)
  • विषम संख्या (Odd) – (n = 2k + 1), an + bn = (a + b)(an-1 – an-2b +…- bn-2a + bn-1)
  • (a + b + c + …)2 = a2 + b2 + c2 + … + 2(ab + ac + bc + ….
  • घातांक के नियम (Low Of Formula Exponents)
    1.
    (am)(an) = am+n
    2. (ab)m = ambm
    3. (am)n = amn
  • (आंशिक घातांक) Fractional Exponents
    1. a0 = 1
    2. aman=amnaman=am−n
    3. amam = 1am1a−m
    4. ama−m = 1am

Some Product Formulas (कुछ गुणनफल सूत्र)

a2b2=(ab)(a+b)a2−b2=(a−b)(a+b)
a3b3=(ab)(a2+ab+b2)a3−b3=(a−b)(a2+ab+b2)
a3+b3=(a+b)(a2ab+b2)a3+b3=(a+b)(a2−ab+b2)
a4b4=(ab)(a+b)(a2ab+b2)a4−b4=(a−b)(a+b)(a2−ab+b2)
a5b5=(ab)(a4+a3b+a2b2+ab3+b4)
(a+b)2=a2+2ab+b2(a+b)2=a2+2ab+b2
(ab)2=a22ab+b2(a−b)2=a2−2ab+b2
(a+b)3=a3+3a2b+3ab2+b3(a+b)3=a3+3a2b+3ab2+b3
(ab)3=a33a2b+3ab2b3(a−b)3=a3−3a2b+3ab2−b3
(a+b)4=a4+4a3b+6a2b2+4ab3+b4(a+b)4=a4+4a3b+6a2b2+4ab3+b4
(ab)4=a44a3b+6a2b24ab3+b4(a−b)4=a4−4a3b+6a2b2−4ab3+b4
(a+b+c)2=a2+b2+c2+2ab+2ac+2bc(a+b+c)2=a2+b2+c2+2ab+2ac+2bc
(a+b+c+)2=a2+b2+c2++2(ab+ac+bc+)

क्या आप Students है, और किसी प्रतियोगी परीक्षा तथा अन्य परीक्षाओ की तैयारी करते है, तो हमारा New App जरुर Download करे केवल एक App मे सबकुछ उपलब्ध।

Download Our App Click Here

Disclaimer: किसी प्रकार की शिकायत के लिए हमे Mail करें [email protected] या हमारी Privacy Policy पढे।

Leave A Reply

Your email address will not be published.

This site uses Akismet to reduce spam. Learn how your comment data is processed.

10 Comments
  1. pramod shukla says

    Good information

  2. vivek kumar verma says

    Sir aap mujhe the institute ke hindi ki aur economics ki pdf provide kra dejeye.plzzzz
    My whatsapp no 8739064797

  3. ruchi pandey says

    Plz provide the question of electrical me post plzzzzzzz

  4. Aamir says

    Sir mujhe bihar ssc ki jo exam hone wali h intermediate 10+2 ki uski model paper btae pls i request u

  5. Hemant kumar says

    Sir electrical ki PDF send kro

  6. jitu says

    Me 12 th mp bord ki exam is saal dene ja raha hu lekin muje maths me kuch ni aara me kya kau

  7. Ravi singh rathore says

    Sir rrb jee ka Q pepar bej dijiye mujhe what’s PR 9450156042

  8. $}{ívãm $íng}{ says

    Hlo…
    Sir diploma civil engineering ka Hindi notes pdf ha to plz send me….
    Plz sir …
    My what’s no. 9118036130 , 8400966094

  9. mamta says

    Hello sir, can u provide uppcs pre previous year questions paper in Hindi.

  10. Manjeet Kumar Sharma says

    your solution is very important
    thanks sir

error: कृपया उचित स्थान पर क्लिक करें