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Example 31 (Supplementary NCERT) - Prove [a b c+d] = [a b c] + [a b d]


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Example 31 (Supplementary NCERT) Prove that [π‘Ž βƒ—, 𝑏 βƒ—, 𝑐 βƒ—+𝑑 βƒ— ] = [π‘Ž βƒ—, 𝑏 βƒ—, 𝑐 βƒ— ] + [π‘Ž βƒ—, 𝑏 βƒ—, 𝑑 βƒ— ]Solving LHS [π‘Ž βƒ—, 𝑏 βƒ—, 𝑐 βƒ—+𝑑 βƒ— ] = π‘Ž βƒ— . ["(" 𝑏 βƒ—") " Γ— "(" 𝑐 βƒ—+𝑑 βƒ—)] = π‘Ž βƒ— .["(" 𝒃 βƒ— Γ— 𝒄 βƒ—") + (" 𝒃 βƒ— Γ— 𝒅 βƒ—) ] = π‘Ž βƒ— .["(" 𝑏 βƒ— Γ— 𝑐 βƒ—")" ] + π‘Ž βƒ— .["(" 𝑏 βƒ— Γ— 𝑑 βƒ—)] = [π‘Ž βƒ—", " 𝑏 βƒ—", " 𝑐 βƒ— ] + [𝒂 βƒ—", " 𝒃 βƒ—", " 𝒅 βƒ— ] = RHS Hence proved

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.