Prove that 1 1 1 a b c a 3 b 3 c 3
WebbSolution Verified by Toppr ∣∣∣∣∣∣∣∣111abcbccaab∣∣∣∣∣∣∣∣ Applying:- R 1→R 1→R 2 R 2→R 2→R 3 = ∣∣∣∣∣∣∣∣001a−bb−cc −c(a−b)−a(b−c)ab ∣∣∣∣∣∣∣∣ ⇒ Expanding the determinant ⇒ 1[(a−b)(−a)(b−c)−(b−c)(−c)(a−b)] ⇒(a−b)(b−c)(c−a) Hence proved. Solve any question of Determinants with:- Patterns of problems > Was this answer helpful? 0 0 Similar questions WebbTo prove: A−(B∪C)=(A−B)∩(A−C) Solution: L.H.S =A−(B∪C) =A∩(B∪C) ∵(A−B)=A∩B =A∩(B∩C) ∵(B∪C)=(B∩C) =(A∩B)∩(A∩C) =(A−B)∩(A−C) = R.H.S Video Explanation Was this answer helpful? 0 0 Similar questions For any three sets A.B and C.A×(B∪(C)) equals: Medium View solution > If A, B and C are three finite sets then what is [(A∪B)∩C] equal …
Prove that 1 1 1 a b c a 3 b 3 c 3
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Webb5 jan. 2015 · Sol: a 3 + b 3 + c 3 = (a + b + c) 3 – 3 (a + b) (b + c) (c + a) a + b + c = 0 ⇒ a + b = – c, b + c = – a, c + a = – b. (1/a) 3 + (1/b) 3 + (1/c) 3 = (1/a + 1/b + 1/c) 3 – 3 (1/a + 1/b) (1/b + 1/c) (1/c + 1/a) = (1/a + 1/b + 1/c) 3 – 3 (a+b / ab) (b + c / bc) (c + a / ac) = (1/a + 1/b + 1/c) 3 – 3 (– c / ab) (– a / bc) (– b / ac) WebbSolution Here, a(1 b+ 1 c),b(1 c+ 1 a),c(1 a+ 1 b) are in A.P. By adding 1 to each term, we get ⇒ a(c+b bc)+1,b( a+c ca)+1,c(b+a ab)+1 are in A.P. ⇒ ca+ab bc +1, ab+bc ca +1, bc+ca ab +1 are in A.P. Dividing all terms by ab + bc + ca 1 bc, 1 ca, 1 ab are in A.P. Multiplying by abc abc bc, abc ca, abc ab are in A.P. ⇒ a,b,c are in A.P.
WebbIf a + b + c = 0, then prove that a^3+ b^3+ c^3 = 3abc. Get the answer to this question and access a vast question bank that is tailored for students. Webb14 apr. 2024 · 富谷市民図書館等複合施設 基本設計の概要について. 令和4年度に、公募型プロポーザルにて設計者を選定し、市民ワークショップや富谷市との協議を行いながら進めてきた、富谷市民図書館等複合施設の基本設計がこのほどまとまりましたので、その概 …
Webb(1) We know that abc = 1 ∴ c = 1 a b By substituting the value of c in equation (1), we get = b b + a b + 1 + 1 a b 1 a b + b ( 1 a b) + 1 + a a + a ( 1 a b) + 1 = b b + a b + 1 + 1 a b 1 a b … Webb23 maj 2024 · Prove that (a + b + c)^3 – a^3 – b^3 – c^3 = 3(a + b)(b + c)(c + a). - Sarthaks eConnect Largest Online Education Community. Prove that (a + b + c)3 – a3 – b3 – c3 …
WebbSolution As a, b, c, are in continued proportion Let a b = b c = k L.H.S. = 1 a 3 + 1 b 3 + 1 c 3 = 1 ( c k 2) 3 + 1 ( c k) 3 + 1 c 3 = 1 c 3 k 6 + 1 c 3 k 3 + 1 c 3 = 1 c 3 [ 1 k 6 + 1 k 3 + 1 1] R.H.S. = a b 2 c 2 + b c 2 a 2 + c a 2 b 2 = ck c k 2 ( c k) 2 …
Webb13 mars 2024 · Prior to start Adobe Premiere Pro 2024 Free Download, ensure the availability of the below listed system specifications. Software Full Name: Adobe Premiere Pro 2024. Setup File Name: Adobe_Premiere_Pro_v23.2.0.69.rar. Setup Size: 8.9 GB. Setup Type: Offline Installer / Full Standalone Setup. Compatibility Mechanical: 64 Bit (x64) puntmos 13 houtenpuntney show pigsWebb4 aug. 2024 · All statements are equivalent. Aug 4, 2024 at 9:50. Thanks, But clear up another thing, x A c ∪ B c, why does it implie that X ∈ A c o r x ∈ B c . If x isn't both in A … puntney truckingWebb16 mars 2024 · Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, … puntney columbus neWebb2 juli 2024 · (a+b+c)^3 Verifications Need to verify \ ( (a+b+c)^3 \) formula is right or wrong. put the value of a = 1, b=2 and c=3 put the value of a and b in the LHS put the value of a and b in the RHS Therefore Proof Formula: Summary (a+b+c)^3 If you have any issues in the (a+b+c)^3 formulas, please let me know through social media and mail. punt no memoryWebbI suggests that you use (a +b)3 = a3 + b3 + 3ab(a +b) ⇒ a3 +b3 = (a+ b)3 −3ab(a +b) instead, you will need to use it twice like this: a3 + b3 + c3 − 3abc = (a+ b)3 +c3 −3ab(a+ b)−3abc = (a +b +c)3 − (3c(a+ b)2 +3(a +b)c2)− 3ab(a+ b+c) ... How to prove a3 + b3 + c3 − 3abc = 1, If a,b,c are infinite series as given in the description box below? second line of nonspecific defenseWebbför 2 timmar sedan · 1. Autocuidado. Whey protein: funções além do ganho de massa muscular. 2. Dinheiro em Ação. Correios vão leiloar 50 mil itens não entregues; lista inclui celulares, drones e câmeras. 3. second line parade handkerchiefs