
Dividing two polynomials
Last updated at Dec. 16, 2024 by Teachoo
Transcript
Ex 12.3, 5 Factorise the expressions and divide them as directed. (v) 5pq(๐^2 โ ๐^2) รท 2p(p + q)We first factorise 5pq (๐^2โ๐^2 ) Using ๐^๐ โ ๐^๐ = (a + b) (a โ b) Here ๐= p and b = q = 5pq (p + q) (p โ q) Dividing 5pq (๐^2โ๐^2 )รท2๐ (๐+๐) = (5๐๐ (๐^2 โ ๐^2))/(2๐ (๐ + ๐)) = (๐๐๐ (๐ + ๐) (๐ โ ๐))/(๐๐ (๐ + ๐)) = 5/2 ร ๐/๐ ร q ร ((๐ + ๐))/((๐ + ๐)) ร (p โ q) = 5/2 ร q ร (p โ q) = ๐/๐ q (p โ q)