Q32 of 274 Page 69

Factorize:

8a2 – 27ab + 9b2

We have,



Now by using middle-term splitting, we get


= 8a2 – 24ab – 3ab + 9b2


= 8a (a – 3b) – 3b (a – 3b)


= (a – 3b) (8a – 3b)


Hence,


The given expression can be factorized as:



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