Question

Step by step how to get the answer

Answer 1

(xyz + 1)

Explanation:

We can use the identity:

`a^2 - b^2 = (a + b)(a - b)`

to solve for the blank in this equation.

On the left side, we can identify a difference of two squares (a² - b²).

• the first square (a) is xyz
• the second square (b) is 1

We can see that there is already an (a - b) term on the right, so in the blank, we just have to construct an (a + b) term:

(xyz + 1)

This satisfies the equation:

(xyz)² - 1 = (xyz + 1) · (xyz - 1)