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Last updated at Dec. 24, 2018 by Teachoo
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Ex 9.4, 3 Simplify. (v) (๐ฅ+๐ฆ)(2๐ฅ+๐ฆ)+(๐ฅ+2๐ฆ)(๐ฅโ๐ฆ) Here, there are 2 expressions 1st expression = (๐ฅ+๐ฆ)(2๐ฅ+๐ฆ) 2nd expression = (๐ฅ+2๐ฆ)(๐ฅโ๐ฆ) Solving First expression (๐ฅ+๐ฆ)(2๐ฅ+๐ฆ) = ๐ฅ(2๐ฅ+๐ฆ)+๐ฆ (2๐ฅ+๐ฆ) = (๐ฅร2๐ฅ)+(๐ฅร๐ฆ)+(๐ฆร2๐ฅ)+(๐ฆร๐ฆ) = 2๐ฅ^2+๐ฅ๐ฆ+2๐ฆ๐ฅ+๐ฆ^2 = 2๐ฅ^2+๐ฅ๐ฆ+2๐ฅ๐ฆ+๐ฆ^2 = 2๐ฅ^2+3๐ฅ๐ฆ+๐ฆ^2 Solving 2nd expression (๐ฅ+2๐ฆ)(๐ฅโ๐ฆ) = ๐ฅ(๐ฅโ๐ฆ)+2๐ฆ (๐ฅโ๐ฆ) = (๐ฅร๐ฅ)โ(๐ฅร๐ฆ)+(2๐ฆร๐ฅ)โ(2๐ฆร๐ฆ) = ๐ฅ^2โ๐ฅ๐ฆ+2๐ฆ๐ฅโ2๐ฆ^2 = ๐ฅ^2+๐ฅ๐ฆโ2๐ฆ^2 Now, our expression becomes: (๐ฅ+๐ฆ)(2๐ฅ+๐ฆ)+(๐ฅ+2๐ฆ)(๐ฅโ๐ฆ) = 2๐ฅ^2+3๐ฅ๐ฆ+๐ฆ^2+๐ฅ^2+๐ฅ๐ฆโ2๐ฆ^2 = 2๐ฅ^2+๐ฅ^2+3๐ฅ๐ฆ+๐ฅ๐ฆ+๐ฆ^2โ2๐ฆ^2 = ๐๐^๐+๐๐๐โ๐^๐
Ex 9.4
Ex 9.4, 1 (ii)
Ex 9.4, 1 (iii) Important
Ex 9.4, 1 (iv) Important
Ex 9.4, 1 (v) Important
Ex 9.4, 1 (vi) Important
Ex 9.4, 2 (i)
Ex 9.4, 2 (ii)
Ex 9.4, 2 (iii)
Ex 9.4, 2 (iv)
Ex 9.4, 3 (i)
Ex 9.4, 3 (ii)
Ex 9.4, 3 (iii)
Ex 9.4, 3 (iv) Important
Ex 9.4, 3 (v) Important You are here
Ex 9.4, 3 (vi)
Ex 9.4, 3 (vii) Important
Ex 9.4, 3 (viii)
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