Example 16 - Chapter 12 Class 8 Factorisation

Last updated at April 16, 2024 by Teachoo

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

Example 16 - Chapter 14 Class 8 Factorisation - Part 2

Transcript

Example 16 Divide z (5𝑧^2 – 80) by 5z (z + 4) We first factorise z(〖5𝑧〗^2− 80) = z(〖5𝑧〗^2− (16 × 5)) Taking 5 common, = z × 5 (𝑧^2− 16) = 5z (𝑧^2 − 4^2) Using 𝑎^2 − 𝑏^2 = (a + b) (a − b) Here 𝑎= z and b = 4 = 5z (z + 4) (z − 4) Dividing (𝑧 (5𝑧^2 − 80))/(5𝑧 (𝑧 + 4)) = (5𝑧 (𝑧 + 4) (𝑧 − 4))/(5𝑧 (𝑧 + 4)) = 5𝑧/5𝑧 × ((𝑧 + 4))/((𝑧 + 4)) × (z − 4) = 1 × 1 × (z − 4) = (z − 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 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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