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