Factorise
9a²-4b²-6a+1
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9a² - 6a + 1 - 4b²
use identity
(a-b)² = a²+b² - 2ab
=> (3a)² - 2.3a.1 + (1)² - (2b)²
=> (3a – 1)² – (2b)²
now use identity
a² – b² = (a+b)(a-b)
=> (3a - 1 + 2b ) ( 3a - 1 - 2b )
is the factor .
use identity
(a-b)² = a²+b² - 2ab
=> (3a)² - 2.3a.1 + (1)² - (2b)²
=> (3a – 1)² – (2b)²
now use identity
a² – b² = (a+b)(a-b)
=> (3a - 1 + 2b ) ( 3a - 1 - 2b )
is the factor .
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