Mathematics
Factorise the following:
(x - 2)(x + 2) + 3
Factorisation
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Answer
Using identity,
(a - b)(a + b) = (a2 - b2).
(x - 2)(x + 2) + 3 = (x2 - 4) + 3 = (x2 - 1).
Using identity,
a2 - b2 = (a - b)(a + b).
(x2 - 1) = (x - 1)(x + 1).
Hence, (x - 2)(x + 2) + 3 = (x - 1)(x + 1).
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