Factorise (a-2) (a+2) +3 please answer I will mark you as brainliest�

1.	Factorise (a-2) (a+2) +3 please answer I will mark you as brainliest
Answer» 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)

Factorise (a-2) (a+2) +3 please answer I will mark you as brainliest

Answer»

Answer:

(a - 1)(a + 1)

Step-by-step explanation:

(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)