Example 16 - Chapter 12 Class 8 Factorisation

Last updated at April 16, 2024 by

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 (5๐‘ง^2 โ€“ 80) by 5z (z + 4) We first factorise z(ใ€–5๐‘งใ€—^2โˆ’ 80) = z(ใ€–5๐‘งใ€—^2โˆ’ (16 ร— 5)) Taking 5 common, = z ร— 5 (๐‘ง^2โˆ’ 16) = 5z (๐‘ง^2 โˆ’ 4^2) Using ๐‘Ž^2 โˆ’ ๐‘^2 = (a + b) (a โˆ’ b) Here ๐‘Ž= z and b = 4 = 5z (z + 4) (z โˆ’ 4) Dividing (๐‘ง (5๐‘ง^2 โˆ’ 80))/(5๐‘ง (๐‘ง + 4)) = (5๐‘ง (๐‘ง + 4) (๐‘ง โˆ’ 4))/(5๐‘ง (๐‘ง + 4)) = 5๐‘ง/5๐‘ง ร— ((๐‘ง + 4))/((๐‘ง + 4)) ร— (z โˆ’ 4) = 1 ร— 1 ร— (z โˆ’ 4) = (z โˆ’ 4)

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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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo