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 find an equivalent expression and domain for the given expression.
The correct answer is: Hence, the domain is, (-∞, 0) ∪ (0,∞).
Step 1 of 2:
Simplify the expression and cancel out the common factors:
Thus, the equivalent expression of 
.
Step 2 of 2:
When we find the domain, we have to exclude the values for which the denominator attains a zero value. So, we have:
y = 0
That is, y = 0 must be excluded.
Hence, 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.
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The slope-intercept form of a line is the most common way to express a line's equation. For example, the slope-intercept form, y = mx + c, is the equation of a straight line with slope m and intercept c on the y-axis. In this case, m and c can be any two real numbers.
The value of m in the equation defines the line's slope (or gradient). It can have a positive, negative, or 0 value.
• Positive gradient lines rise from left to right.
• Negative gradient lines slant in reverse order From left to right.
• The gradient of horizontal lines is zero.
The value of c is known as the line's vertical intercept. When x = 0, this is the value of y. When drawing a line, c indicates where the line intersects the vertical axis.
For example, y = 3x + 2 has a slope of 3 (i.e., m = 3) and an intercept of 2 on the y-axis (i.e., c = 2).
To determine the slope-intercept equation. First, find the slope of a line and then the y-intercept of a line.
what values must be restricted from the domain for x ?
