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प्रश्न
Factorise : 12(3x - 2y)2 - 3x + 2y - 1
उत्तर
12(3x - 2y)2 - 3x + 2y - 1 = 12( 3x - 2y )2 - ( 3x - 2y ) - 1
Let us assume that 3x - 2y = a
Then the given expression is
3x - 2y = a
12a2 - a - 1
12a2 - (4 - 3) a -1
12a2 - 4a + 3a - 1
4a (3a - 1) + 1 (3a - 1)
(3a - 1) (4a + 1)
[3(3x 2y) - 1] [4x (3x - 2y + 1)]
(9x - 6y - 1) (12x - 8y + 1)
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