Answer:
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.
