Question
Find the simplified product , and state the domain
Hint:
The expansion of the expression 
.
We are asked to simplify the product and find the domain.
The correct answer is: the domain is (-∞, -8) ∪ (-8, ∞).
Step 1 of 2:
Simplify the expression and cancel out the common terms;
=
Thus, the simplified expression is; 
.
Step 2 of 2:
The domain of a rational expression should exclude the values for which the denominator attains a zero value. Thus, we have:
x + 8 = 0
x = -8
Hence, the domain is (-∞, -8) ∪ (-8, ∞).
Thus, the simplified expression is;
.Step 2 of 2:
The domain of a rational expression should exclude the values for which the denominator attains a zero value. Thus, we have:
x + 8 = 0
x = -8
Hence, the domain is (-∞, -8) ∪ (-8, ∞).
Division of an expression by zero is not defined. That is why; we exclude the values of zero for the denominator.
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.
. The height in units can be represented by x + 8. What is the side length of the base of the rectangular prism, in unit.
