Example 13 - Using Identity (III), find (i) (3/2 m + 2/3n) (ii) 983^2

 

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Example 13 Using Identity (III), find (i) (3/2 ๐‘š+2/3 ๐‘›)(3/2 ๐‘šโˆ’2/3 ๐‘›) (3/2 ๐‘š+2/3 ๐‘›)(3/2 ๐‘šโˆ’2/3 ๐‘›) (๐‘Ž+๐‘)(๐‘Žโˆ’๐‘)=๐‘Ž^2โˆ’๐‘^2 Putting ๐‘Ž = 3/2 ๐‘š & ๐‘ = 2/3 ๐‘› = (3/2 ๐‘š)^2โˆ’(2/3 ๐‘›)^2 = (3/2)^2ร—๐‘š^2โˆ’(2/3)^2ร—๐‘›^2 = ๐Ÿ—/๐Ÿ’ ๐’Ž^๐Ÿโˆ’๐Ÿ’/๐Ÿ— ๐’^๐Ÿ

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