Question
Find the product and 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 of the expression is (-∞,-1)∪(-1,∞).
Step 1 of 2:
Simplify the expression and cancel out the common factors,
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 values. So, when
Thus, the domain of the expression is (-∞,-1)∪(-1,∞).
Division by a zero value is not defined in mathematics. Hence, we cannot divide a number by zero.
Related Questions to study
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Write the equation in slope-intercept form of the line that passes through the points (2, 1.5) and (0, 4.5).
The slope intercept form is a technique for determining a straight line's equation in the coordinate plane.
¶A graph of the linear equation y = mx + c is a straight line with slope m and y-intercept c. It is known as the slope-intercept form of the linear equation, and m and c are real numbers.
¶The slope, m, of a line represents its steepness. Sometimes the slope of a line is referred to as the gradient. A line's y-intercept, b, represents the y-coordinate of the point where the line's graph intersects the y-axis. Note: The y-coordinates intercepts are always (0, y) because the line whose equation needs to be determined always intersects the y-axis at x = 0.
Write the equation in slope-intercept form of the line that passes through the points (2, 1.5) and (0, 4.5).
The slope intercept form is a technique for determining a straight line's equation in the coordinate plane.
¶A graph of the linear equation y = mx + c is a straight line with slope m and y-intercept c. It is known as the slope-intercept form of the linear equation, and m and c are real numbers.
¶The slope, m, of a line represents its steepness. Sometimes the slope of a line is referred to as the gradient. A line's y-intercept, b, represents the y-coordinate of the point where the line's graph intersects the y-axis. Note: The y-coordinates intercepts are always (0, y) because the line whose equation needs to be determined always intersects the y-axis at x = 0.
