Verified Answer :

(x-12) and (x+12)

I'm 100% sure of this answer because I just took the quiz and got it right! :)

Answer:

\((x+12)(x-12)\)

Step-by-step explanation:

Given :\(x^{2} -144\)

To Find: what are the factors of \(x^{2} -144\)

Solution:

Since we are given \(x^{2} -144\)

Since \(\sqrt{144} =12\)

So 144 can be written as \(12^{2}\)

So, \(x^{2} -12^{2}\)

Now using the property : \(a^{2} -b^{2} =(a+b)(a-b)\)

⇒\((x+12)(x-12)\)

So, the factors of \(x^{2} -144=(x+12)(x-12)\)