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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 π‘š+2/3 𝑛)(3/2 π‘šβˆ’2/3 𝑛) (3/2 π‘š+2/3 𝑛)(3/2 π‘šβˆ’2/3 𝑛) (π‘Ž+𝑏)(π‘Žβˆ’π‘)=π‘Ž^2βˆ’π‘^2 Putting π‘Ž = 3/2 π‘š & 𝑏 = 2/3 𝑛 = (3/2 π‘š)^2βˆ’(2/3 𝑛)^2 = (3/2)^2Γ—π‘š^2βˆ’(2/3)^2×𝑛^2 = πŸ—/πŸ’ π’Ž^πŸβˆ’πŸ’/πŸ— 𝒏^𝟐

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.