Respuesta :

Answer:

[tex]a^{2}  -16[/tex] =  (a + 4) (a - 4)

Step-by-step explanation:

The given equation is [tex]a^{2}  -16[/tex]

Now, By ALGEBRAIC IDENTITY:

[tex]a^{2}  -b^{2}   =(a - b) (a + b)[/tex]

Here, taking [tex]b^{2}  = 16[/tex], we get b = 4

as [tex]4^{2}  = 16[/tex]

So, the right hand side of [tex]a^{2}  -16[/tex] is (a + 4) (a-4)