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


Transcript

Ex 14.2, 4 Factorise. (v) 𝑎^4 – 2𝑎^2 𝑏^2 + 𝑏^4 𝑎^4 – 2𝑎^2 𝑏^2 + 𝑏^4 = (𝑎^2 )^2 − 2𝑎^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 Using 𝑥^2 − y^2=(𝑥+𝑦)(𝑥 − y) Here 𝑥=𝑎 and y = 𝑏 = [(𝑎+𝑏) (𝑎 − b)]^2 = (𝒂+𝒃)^𝟐 (𝒂 − 𝒃)^𝟐 (As (𝑎𝑏)^𝑚=𝑎^𝑚×𝑏^𝑚)

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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.