Factorize :
(i) 6ab – b² + 12ac – 2bc
(ii) 9(2a – b)² – 4(2a – b) – 13
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9(2a- b)^ 2 - 4(2a- b) -13
18a - 9b^2 - 8a - 4b - 13
- 9b^2 + 10a - 13
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2
Answer:
I) 6ab-b^2+12ac-2bc
=b(6a-b)+2c(6a-b)
=(6a-b) (b+2c)
ii) 9(2a-b)^2-4(2a-b)-13
=9(2a-b)^2-13(2a-b)+9(2a-b)-13
=(2a-b){9(2a-b)-13}+1{9(2a-b)-13}
={9(2a-b)-13} (2a-b+1)
=(18a-9b-13)(2a-b+1)
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