Question

What is a difference of squares that has a factor of x + 8?

Complete the expression:

x2 – _____

Answer 1

x2-64

Step-by-step explanation:
The factors of x2-64 are x+8 and x-8. When the factors are multiplied together, they give:
(x+8)(x-8)= x2-8x+8x-64.
-8x+8x gives a zero. This leaves x2-64 which is a difference of two squares.

Answer 2

The missing value of 64 or 8². The complete expression is x²- 64 or x²- 8².

Step-by-step explanation:

It is given that the difference of squares has a factor of x + 8.

The given expression is

x²- _____

Let the missing term in the given expression be a².

Using the algebraic formula, we get

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

It is given that one factor of the given expression is (x+8).

`x+a=x+8`

`a=8`

It means the value of a is 8 and the missing value of 64 or 8².

Therefore the complete expression is x²- 64 or x²- 8².