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Ex 14.2, 1 (viii) - Factorise a^4 + 2a^2b^2 + b^4 - Ex 14.2


Transcript

Ex 14.2, 1 Factorise the following expressions. (viii) 𝑎^4 + 2𝑎^2 𝑏^2 + 𝑏^4 𝑎^4 + 2𝑎^2 𝑏^2 + 𝑏^4 Using (𝑎^𝑚 )^𝑛=𝑎^(𝑚 × 𝑛) ∴ (𝑎^2 )^2 = 𝑎^(2 × 2)=𝑎^4 = (𝑎^2 )^2+〖2𝑎〗^2 𝑏^2+(𝑏^2 )^2 = (𝑎^2 )^2+2(𝑎^2×𝑏^2)+(𝑏^2 )^2 =(𝑎^2 )^2+(𝑏^2 )^2+2(𝑎^2×𝑏^2) Using (𝑥+𝑦)^2=𝑥^2+𝑦^2+2𝑥𝑦 Here, 𝑥 = 𝑎^2 and y = 𝑏^2 = (𝒂^𝟐+𝒃^𝟐 )^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.