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