Mathematics
Factorise :
4a2 - 12ab + 9b2 + 4a - 6b
Factorisation
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Answer
4a2 - 12ab + 9b2 + 4a - 6b
Using the formula
[∵ (x - y)2 = x2 + y2 - 2xy]
= (4a2 - 12ab + 9b2) + 4a - 6b
= ((2a)2 - 2 2a 3b + (3b)2) + 4a - 6b
= (2a - 3b)2 + (4a - 6b)
Using the formula
[∵ (x2 - y2) = (x + y)(x - y)]
= (2a - 3b)2 + 2(2a - 3b)
= (2a - 3b)((2a - 3b) + 2)
= (2a - 3b)(2a - 3b + 2)
Hence,4a2 - 12ab + 9b2 + 4a - 6b = = (2a - 3b)(2a - 3b + 2)
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