Slide41.JPG

Slide42.JPG

Share on WhatsApp

Transcript

Ex 12.3, 5 Factorise the expressions and divide them as directed. (vi) 12xy(9๐‘ฅ^2 โ€“ 16๐‘ฆ^2) รท 4xy(3x + 4y)We first factorise 12xy (ใ€–9๐‘ฅใ€—^2โˆ’16๐‘ฆ^2) = 12xy [(ใ€–3๐‘ฅใ€—^2) โˆ’ (ใ€–4๐‘ฆใ€—^2)] Using ๐’‚^๐Ÿ โˆ’ ๐’ƒ^๐Ÿ = (a + b) (a โˆ’ b) Here ๐‘Ž= 3x and b = 4y = 12xy (3x + 4y) (3x โˆ’ 4) Dividing 12xy (ใ€–9๐‘ฅใ€—^2โˆ’16๐‘ฆ^2) รท 4xy (3x + 4y) = (12๐‘ฅ๐‘ฆ (9๐‘ฅ^2 โˆ’ 16๐‘ฆ^2))/(4๐‘ฅ๐‘ฆ (3๐‘ฅ + 4๐‘ฆ)) = (๐Ÿ๐Ÿ๐’™๐’š (๐Ÿ‘๐’™ + ๐Ÿ’๐’š) (๐Ÿ‘๐’™ โˆ’ ๐Ÿ’๐’š))/(๐Ÿ’๐’™๐’š (๐Ÿ‘๐’™ + ๐Ÿ’๐’š)) = 12/4 ร— ๐‘ฅ๐‘ฆ/๐‘ฅ๐‘ฆ ร— ((3๐‘ฅ + 4๐‘ฆ))/((3๐‘ฅ + 4๐‘ฆ)) ร— (3x โˆ’ 4y) = 3 (3x โˆ’ 4y)

Davneet Singh's photo - Co-founder, Teachoo

Made by

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