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Example 16 - Divide z(5z^2 - 80) by 5z(z + 4) - Chapter 14 Class 9

Example 16 - Chapter 14 Class 8 Factorisation - Part 2

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Example 16 Divide z (5𝑧^2 – 80) by 5z (z + 4) We first factorise z(γ€–5𝑧〗^2βˆ’ 80) = z(γ€–5𝑧〗^2βˆ’ (16 Γ— 5)) Taking 5 common, = z Γ— 5 (𝑧^2βˆ’ 16) = 5z (𝑧^2 βˆ’ 4^2) Using π‘Ž^2 βˆ’ 𝑏^2 = (a + b) (a βˆ’ b) Here π‘Ž= z and b = 4 = 5z (z + 4) (z βˆ’ 4) Dividing (𝑧 (5𝑧^2 βˆ’ 80))/(5𝑧 (𝑧 + 4)) = (5𝑧 (𝑧 + 4) (𝑧 βˆ’ 4))/(5𝑧 (𝑧 + 4)) = 5𝑧/5𝑧 Γ— ((𝑧 + 4))/((𝑧 + 4)) Γ— (z βˆ’ 4) = 1 Γ— 1 Γ— (z βˆ’ 4) = (z βˆ’ 4)

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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.