Ex 12.2, 1 (viii) - Factorise a^4 + 2a^2b^2 + b^4 - Ex 12.2 - Ex 12.2

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Ex 12.2, 1 Factorise the following expressions. (viii) š‘Ž^4 + 2š‘Ž^2 š‘^2 + š‘^4š‘Ž^4 + 2š‘Ž^2 š‘^2 + š‘^4 Using (š‘Ž^š‘š )^š‘›=š‘Ž^(š‘š Ɨ š‘›) ∓ (š‘Ž^2 )^2 = š‘Ž^(2 Ɨ 2)=š‘Ž^4 = (š‘Ž^2 )^2+怖2š‘Žć€—^2 š‘^2+(š‘^2 )^2 = (š’‚^šŸ )^šŸ+šŸ(š’‚^šŸĆ—š’ƒ^šŸ)+(š’ƒ^šŸ )^šŸ =(š‘Ž^2 )^2+(š‘^2 )^2+2(š‘Ž^2Ć—š‘^2) Using (š’™+š’š)^šŸ=š‘„^2+š‘¦^2+2š‘„š‘¦ Here, š‘„ = š‘Ž^2 and y = š‘^2 = (š’‚^šŸ+š’ƒ^šŸ )^šŸ

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