Check sibling questions

Ex 14.3, 5 (iv) - Factorise and divide 4yz(z^2 + 6z - 16) Γ· 2y(z + 8)

Ex 14.3, 5 (iv) - Chapter 14 Class 8 Factorisation - Part 2

Introducing your new favourite teacher - Teachoo Black, at only β‚Ή83 per month


Transcript

Ex 14.3, 5 Factorise the expressions and divide them as directed. (iv) 4yz(𝑧^2 + 6z – 16) Γ· 2y(z + 8) We first factorise 4yz (𝑧^2+6π‘§βˆ’16) By middle term splitting, = 4yz (𝑧^2βˆ’2𝑧+8π‘§βˆ’16) = 4yz [(𝑧^2βˆ’2𝑧)+(8π‘§βˆ’16)] = 4yz [z (z βˆ’ 2) + 8 (z βˆ’ 2)] Taking (z βˆ’ 2) common, = 4yz (z βˆ’ 2) (z + 8) Splitting the middle term We need to find two numbers whose Sum = 6 Product = βˆ’16 So, we write 6z = βˆ’2z + 8z Dividing 4yz (𝑧^2+6π‘§βˆ’16)Γ·2𝑦 (𝑧+8) = (4𝑦𝑧 (𝑧^2 + 6𝑧 βˆ’ 16))/(2𝑦 (𝑧 + 8)) = (4𝑦𝑧 (𝑧 βˆ’2) (𝑧 + 8))/(2𝑦 (𝑧 + 8)) = 4/2 Γ— 𝑦/𝑦 Γ— z Γ— (z βˆ’ 2) Γ— ((𝑧 + 8))/((𝑧 + 8)) = 2 Γ— z Γ— (z βˆ’ 2) = 2z (𝒛 βˆ’ 2)

Davneet Singh's photo - Teacher, Engineer, Marketer

Made by

Davneet Singh

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.