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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


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Ex 12.1, 2 (Method 1) Factorise the following expressions. (x) a 𝑥^2 y + b x 𝑦^2 + c x y za 𝑥^2y + b 〖𝑥𝑦〗^2 + c 𝑥𝑦𝑧 = (𝒙 × a𝑥y) + (𝒙 × b𝑦^2) + (𝒙 × cyz) Taking 𝒙 common, = 𝒙 (axy + b𝑦^2 + cyz) = 𝑥 ((ax × y) + (by × y) + (cz × y)) Taking 𝒚 common, = 𝑥 × y (ax + by + cz) = 𝒙y (ax + by + cz) Ex 12.1, 2 (Method 2) Factorise the following expressions. (x) a𝑥^2y + bx𝑦^2 + cxyz a𝒙^𝟐y b〖𝑥𝑦〗^2 c𝒙𝒚𝒛 So, x and y are the common factors. a𝑥^2y + b〖𝑥𝑦〗^2 + c𝑥𝑦𝑧 = (a × 𝑥 × 𝑥 × y) + (b × 𝑥 × y × y) + (c × 𝑥 × y × z) Taking 𝒙 × y common, = x × y ((a × 𝑥 ) + (b × 𝑥 ) + (c × z) = xy (a𝒙 + by + cz) = a × 𝑥^2 × y = b × 𝑥 × 𝑦^2 = c × 𝑥 × y × z = a × 𝑥 × 𝑥 × y = b × 𝑥 × y × y

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.