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Ex 14.3, 2 (v) - Divide (p^3q^6 - p^6q^3) รท p^3q^3 - Poly by Mono

Ex 14.3, 2 (v) - Chapter 14 Class 8 Factorisation - Part 2

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Ex 14.3, 2 (Method 1) Divide the given polynomial by the given monomial. (v) (๐‘^3 ๐‘ž^6 โ€“ ๐‘^6 ๐‘ž^3) รท ๐‘^3 ๐‘ž^3 ๐‘^3 ๐‘ž^6 โ€“ ๐‘^6 ๐‘ž^3 = (๐‘^3 ๐‘ž^3 ร— ๐‘ž^3) โˆ’ (๐‘^3 ๐‘ž^3 ร— ๐‘^3) Taking ๐‘^3 ๐‘ž^3common, = ๐‘^3 ๐‘ž^3(๐‘ž^3โˆ’๐‘^3) Dividing (๐‘^3 ๐‘ž^6 " " โˆ’ใ€– ๐‘ใ€—^6 ๐‘ž^3)/(๐‘^3 ๐‘ž^3 ) = (๐‘^3 ๐‘ž^3 (๐‘ž^3โˆ’๐‘^3))/(๐‘^3 ๐‘ž^3 ) = ๐’’^๐Ÿ‘โˆ’๐’‘^๐Ÿ‘ Ex 14.3, 2 (Method 2) Divide the given polynomial by the given monomial. (v) (๐‘^3 ๐‘ž^6 โ€“ ๐‘^6 ๐‘ž^3) รท ๐‘^3 ๐‘ž^3 (๐‘^3 ๐‘ž^6 " " โˆ’ใ€– ๐‘ใ€—^6 ๐‘ž^3)/(๐‘^3 ๐‘ž^3 ) = (๐‘^3 ๐‘ž^6 )/(๐‘^3 ๐‘ž^3 ) โˆ’ (๐‘^6 ๐‘ž^3)/(๐‘^3 ๐‘ž^3 ) = ๐‘ž^6/๐‘ž^3 โˆ’๐‘^6/๐‘^3 = ๐‘ž^(6 โˆ’ 3) โˆ’ ๐‘^(6 โˆ’ 3) = ๐’’^๐Ÿ‘โˆ’๐’‘^๐Ÿ‘ ("As" ๐‘Ž^๐‘š/๐‘Ž^๐‘› =๐‘Ž^(๐‘š โˆ’ n) )

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