factorise (a-2) (a+2) +3 please answer I will mark you as brainliest
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Answer:
(a - 1)(a + 1)
Step-by-step explanation:
Given,
(a - 2)(a + 2) + 3
We know that,
(x + y)(x - y) = x^2 - y^2
On using this identity in the expression, we get,
=> a^2 - 4 + 3
=> a^2 - 1
This can be written as,
=> a^2 - (1)^2 (since 1^2 = 1)
On using the identity again, we get
=> (a - 1)(a + 1)
Hence,
(a-2)(a+2) +3 = (a - 1)(a + 1)
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