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Ex 14.2, 1 (iv) - Factorise 49y^2 + 84yz + 36z^2 - Ex 14.2


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Ex 14.2, 1 Factorise the following expressions. (iv) 49𝑦^2 + 84yz + 36𝑧^2 49𝑦^2 + 84yz + 36𝑧^2 = 〖(7𝑦)〗^2+84𝑦𝑧+〖(6𝑧)〗^2 = 〖(7𝑦)〗^2+ 2×7𝑦×6𝑧+〖(6𝑧)〗^2 = 〖(7𝑦)〗^2+ 〖(6𝑧)〗^2+ 2×7𝑦×6𝑧 Using (𝑎+𝑏^2 )=𝑎^2+𝑏^2+2𝑎𝑏 Here, 𝑎 = 7y and b = 6z = 〖(𝟕𝒚+𝟔𝒛)〗^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.