Ex 12.3, 5 (vi) - Chapter 12 Class 8 Factorisation
Last updated at April 16, 2024 by Teachoo
Dividing two polynomials
Dividing polynomial by polynomial
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Transcript
Ex 12.3, 5 Factorise the expressions and divide them as directed. (vi) 12xy(9๐ฅ^2 โ 16๐ฆ^2) รท 4xy(3x + 4y)We first factorise 12xy (ใ9๐ฅใ^2โ16๐ฆ^2) = 12xy [(ใ3๐ฅใ^2) โ (ใ4๐ฆใ^2)] Using ๐^๐ โ ๐^๐ = (a + b) (a โ b) Here ๐= 3x and b = 4y = 12xy (3x + 4y) (3x โ 4) Dividing 12xy (ใ9๐ฅใ^2โ16๐ฆ^2) รท 4xy (3x + 4y) = (12๐ฅ๐ฆ (9๐ฅ^2 โ 16๐ฆ^2))/(4๐ฅ๐ฆ (3๐ฅ + 4๐ฆ)) = (๐๐๐๐ (๐๐ + ๐๐) (๐๐ โ ๐๐))/(๐๐๐ (๐๐ + ๐๐)) = 12/4 ร ๐ฅ๐ฆ/๐ฅ๐ฆ ร ((3๐ฅ + 4๐ฆ))/((3๐ฅ + 4๐ฆ)) ร (3x โ 4y) = 3 (3x โ 4y)
