Algebra Formulas – बीजगणित सूत्र हिंदी में: इसके माध्यम से आप बीजगणित सूत्र हिंदी में आसानी से प्राप्त कर सकते हैं। ये सूत्र Mathematics Questions के लिए बहुत जरुरी है एवं algebra formulas PDF math, mensuration formulas नीचे उपलब्ध आपके लिए करा दी गई है।
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Algebra Formulas
· 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)
· 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 = am
आंशिक घातांक) Fractional Exponents
Exponent Law
- √a = a 1/2
- ∛a = a 1/3
- n √a = a 1/n
- a p. a q = a p + q
- a p / a q = a p – q
- a p. b p = (ab) p
- (a p ) q. = a pq
- a 0 . = 1
- a –n. = 1/a n
Important Algebra Formula pdf
Square Formulas
- (a + b) 2 = a 2 + b 2 + 2ab
- (a − b) 2 = a 2 + b 2 − 2ab
- a 2 − b 2 = (a − b) (a + b)
- (x + a) (x + b) = x 2 + (a + b) x + ab
- (a + b + c) 2 = a 2 + b 2 + c 2 + 2ab + 2bc + 2ca
- (a + (−b) + (−c)) 2 = a 2 + (−b) 2 + (−c) 2 + 2a (−b) + 2 (−b) (−c) + 2a (−c)(a – b – c) 2 = a 2 + b 2 + c 2 − 2ab + 2bc − 2ca
Cube Formulas
- (a + b) 3 = a 3 + b 3 + 3ab(a + b)
- (a − b) 3 = a 3 – b 3 – 3ab(a – b)
- a 3 − b 3 = (a − b) (a 2 + b 2 + ab)
- a 3 + b 3 = (a + b) (a 2 + b 2 − ab)
- (a + b + c) 3 = a 3 + b 3 + c 3 + 3(a + b)(b + c)(c + a)
- a 3 + b 3 + c 3 − 3abc = (a + b + c) (a 2 + b 2 + c 2 − ab − bc − ac)
Power n Formula
- a n − b n = (a − b) (a n−1 + a n−2 b 1 + a n−3 b 2 + …. + a 1 b n−2 + b n−1 )
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