Question

Factor x2 - 16 = 0.

(x + 4)(x - 4) = 0

(x + 4)(x + 4) = 0

(x - 2)(x - 8) = 0

(x + 2)(x - 8) = 0

Answer 1

Apply difference of squares:

\(\sf (a^2-b^2)= (a+b)(a-b)\)

Answer 2

can you explain to me everything?

Answer 3

To factor this problem, you have determine what squares will equal \(\sf x^2\) and 16.

For example, you have \(\sf x^2-4\)
x squared will give \(\sf x^2\), so x will be your a (obviously)
and \(\sf 2^2\) will give you 4, so 2 will be your b
so the answer for this one will be \(\sf (x-2)(x+2)\)

Now, apply the same method for your question