Question

Write the missing factor. (x + 1)( ? ) = x2 – 1

Answer 1

Answer: (x-1)

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have that the terms x²-1 are perfect squares:

x²-1²

2. Therefore, by definition, you have that the difference of squares formula is:

a²-b²=(a+b)(a-b)

3. Therefore, keeping the information above on mind, you have:

x²-1²=(x+1)(x-1)

Then, the missing factor is (x-1)

Answer 2

Answer:

(x-1) is the answer.

Step-by-step explanation:

We have given an incomplete equation.

(x+1)(____)  =x²-1

We have to find the missing factor.

Since, we use following formula:

(a+b)(a-b)  = a²-b²

By comparing formula with given equation,

In given equation, a  = x and b  = 1

(x)²-(1)²  = (x+1)(x-1)

Hence, the missing factor is (x-1).