Question

Complete the following: a^2 − 16 = (a +______ )(a - _____ )

Answer 1

Answer:

$a^{2} -16$ =  (a + 4) (a - 4)

Step-by-step explanation:

The given equation is $a^{2} -16$

Now, By ALGEBRAIC IDENTITY:

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

Here, taking $b^{2} = 16$, we get b = 4

as $4^{2} = 16$

So, the right hand side of $a^{2} -16$ is (a + 4) (a-4)