Question
What is the simplified form of each rational expression ? What is the domain ?
Hint:
The expansion of 
. We have to state the domain of a rational expression while simplifying them because we must exclude zeros of a denominator as dividing with zero is not defined.
We are asked to simplify the expression and give its domain.
The correct answer is: Thus, the domain is, (- ∞,4) ∪ (4,∞)
Step 1 of 2:
Simplify the expression and cancel out common factors,
Thus, the simplified expression is: 
.
Step 2 of 2:
Domain of a rational expression should exclude the values of which the denominator gets a zero value.
Hence, we have:
Thus, the domain is, 
.
We have to state the domain of a rational expression while simplifying them because we must exclude zeros of a denominator as dividing with zero is not defined.
Related Questions to study
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What is the simplified form of each rational expression ? What is the domain ?
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Write the equation in slope-intercept form of the line that passes through the points (4, 0) and (0, 2).
The slope intercept form is one way to express the line equation y = mx + b. The slope of the line is denoted by m, while the y-intercept is by b. When you want to find a point on a line or solve for y, if you know the value of x, you use the slope-intercept form.
Y = mx+b
y = coordinate y
m = slope
x = coordinate x
b = y-intercept
Given two points on a line, we can write an equation for that line by first determining the slope between those points and then solving for the y-intercept in the slope-intercept equation y = mx + b.
Write the equation in slope-intercept form of the line that passes through the points (4, 0) and (0, 2).
The slope intercept form is one way to express the line equation y = mx + b. The slope of the line is denoted by m, while the y-intercept is by b. When you want to find a point on a line or solve for y, if you know the value of x, you use the slope-intercept form.
Y = mx+b
y = coordinate y
m = slope
x = coordinate x
b = y-intercept
Given two points on a line, we can write an equation for that line by first determining the slope between those points and then solving for the y-intercept in the slope-intercept equation y = mx + b.
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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.
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