Examples

Chapter 12 Class 8 Factorisation
Serial order wise

### Transcript

Example 14 (Method 1 โ Separating each term) Divide 24(๐ฅ^2yz + ใ๐ฅ๐ฆใ^2z + ใ๐ฅ๐ฆ๐งใ^2) by 8xyz using both the methods. 24 (๐ฅ^2 ๐ฆ๐ง+๐ฅ๐ฆ^2 ๐ง+๐ฅ๐ฆ๐ง^2 ) = 24 (๐ฅร๐ฅ๐ฆ๐ง+๐ฆร๐ฅ๐ฆ๐ง+๐งร๐ฅ๐ฆ๐ง) Taking xyz common = 24 ๐ฅ๐ฆ๐ง (๐ฅ+๐ฆ+๐ง) Dividing (24 (๐ฅ^2 ๐ฆ๐ง + ๐ฅ๐ฆ^2 ๐ง + ๐ฅ๐ฆ๐ง^2))/8๐ฅ๐ฆ๐ง = (24 ๐ฅ๐ฆ๐ง (๐ฅ + ๐ฆ + ๐ง))/8๐ฅ๐ฆ๐ง = (24 ๐ฅ๐ฆ๐ง (๐ฅ + ๐ฆ + ๐ง))/8๐ฅ๐ฆ๐ง = 3 (๐ + ๐ + ๐) Example 14 (Method 2 โ Canceling term) Divide 24(๐ฅ^2yz + ใ๐ฅ๐ฆใ^2z + ใ๐ฅ๐ฆ๐งใ^2) by 8xyz using both the methods. (24 (๐ฅ^2 ๐ฆ๐ง + ๐ฅ๐ฆ^2 ๐ง + ๐ฅ๐ฆ๐ง^2))/8๐ฅ๐ฆ๐ง = 24/8 ร ((๐ฅ^2 ๐ฆ๐ง + ๐ฅ๐ฆ^2 ๐ง + ๐ฅ๐ฆ๐ง^2))/๐ฅ๐ฆ๐ง = 3 ร ((๐ฅ^2 ๐ฆ๐ง + ๐ฅ๐ฆ^2 ๐ง + ๐ฅ๐ฆ๐ง^2))/๐ฅ๐ฆ๐ง = 3 ร ((๐ฅ^2 ๐ฆ๐ง )/๐ฅ๐ฆ๐ง+(๐ฅ๐ฆ^2 ๐ง)/๐ฅ๐ฆ๐ง+(๐ฅ๐ฆ๐ง^2)/๐ฅ๐ฆ๐ง) = 3 ร (๐ฅ + ๐ฆ + ๐ง) = 3 (๐ + ๐ + ๐)