Answer:
[tex](x+12)(x-12)[/tex]
Step-by-step explanation:
Given :[tex]x^{2} -144[/tex]
To Find: what are the factors of [tex]x^{2} -144[/tex]
Solution:
Since we are given [tex]x^{2} -144[/tex]
Since [tex]\sqrt{144} =12[/tex]
So 144 can be written as [tex]12^{2}[/tex]
So, [tex]x^{2} -12^{2}[/tex]
Now using the property : [tex]a^{2} -b^{2} =(a+b)(a-b)[/tex]
⇒[tex](x+12)(x-12)[/tex]
So, the factors of [tex]x^{2} -144=(x+12)(x-12)[/tex]
