Question

factorise the following by expressing as a perfect square (x - 2)^2 - 16​

Answer 1

Step-by-step explanation:

(x-2)^2-4^2

(x-2+4)(x-2-4)

(x+2)(x--6)

Answer 2

Answer: (x-6)(x+2)

Step-by-step explanation:

$a^{2} - b^{2} = (a-b)(a+b)$

$(x-2)^{2} - 16 = (x-2)^{2} - 4^{2}$

So, $(x-2-4)(x-2+4)$

Hence, (x-6)(x+2)