Question

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

Answer 1

(x-1) is the answer.

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).

Answer 2

Answer: (x-1)

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)