Important Maths Formula PDF for Class 12,11,10,9,8,7,6
Important Maths Formula PDF:- Today, we are sharing the PDF For Maths Tricks for you. This maths Formula PDF can prove to be important for the preparation of upcoming government exams like SSC CGL, BANK, RAILWAYS, RRB NTPC, LIC AAO, and many other exams. Maths trick question notes are very important for any Sarkari exam. This Maths PDF is being provided to you free of charge, which you can DOWNLOAD by clicking on the DOWNLOAD button given below, and you can also DOWNLOAD some more new PDFs related to this Maths tricks competitive exams by going to the related notes. You can learn about all the new updates on PDFDOWNLOAD.IN by clicking on the Allow button on the screen.
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Important Maths Formula
- 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
- 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)
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- Maths Notes for Competitive Exams with Average Formulas
1. The average of first 50 natural numbers is …………..
3. The number of 3-digit numbers divisible by 6, is ………….. .
5. A clock strikes once at 1 o’clock, twice at 2 o’clock, thrice at 3 o’clock and so on. How many times will it strike in 24 hours?
8. The simplest form of 1.5 : 2.5 is …………… .
TOPICS – Important Maths Formula PDF for Class 12,11,10,9,8,7,6
Number of Pages:-16
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