Question
Find the simplified form of each product , and give the domain.
Hint:
The expansions of some identities are:
We are asked to simplify the expression and find the domain.
The correct answer is: The value for which the denominator of the expression takes zero is: x + 4 = 0 x = - 4
Step 1 of 3:
Simplify the numerator of the expression;
Step 2 of 3:
Simplify the denominator and cut out the common terms,
The simplification is done using the identity followed by removal of common values.
Thus, the simplified expression is: .
Step 3 of 3:
The value for which the denominator of the expression takes zero is:
Hence, the domain is 
.
When you find the domain of a rational expression exclude the values that bring zero to the denominator.
Related Questions to study
Write an equivalent expression , state the domain .
Write an equivalent expression , state the domain .
Write the equation in slope-intercept form of the line that passes through the points (-1, -5) and (4, -2).
Let us assume the slope of the line to determine at a given point is also the y-intercept. You can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is represented by the symbol 'b' in the formula. The slope of the line results when any two points on a line are entered into the slope formula. In this instance, 1/3 should be the response when 'P1' and 'P2' are put into the slope calculation. You can use two different versions of a line's general form to find a line's equation.
¶The formula for equations of a line is:
1) The formula for Point-Slope is (y - y1) = m (x – x1)
2) The equation y = mx + b for the slope-intercept
Write the equation in slope-intercept form of the line that passes through the points (-1, -5) and (4, -2).
Let us assume the slope of the line to determine at a given point is also the y-intercept. You can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is represented by the symbol 'b' in the formula. The slope of the line results when any two points on a line are entered into the slope formula. In this instance, 1/3 should be the response when 'P1' and 'P2' are put into the slope calculation. You can use two different versions of a line's general form to find a line's equation.
¶The formula for equations of a line is:
1) The formula for Point-Slope is (y - y1) = m (x – x1)
2) The equation y = mx + b for the slope-intercept
Express the following as a rational expression in its lowest terms .
Express the following as a rational expression in its lowest terms .
What is the simplified form of 
What is the simplified form of
Write the equation in slope-intercept form of the line that passes through the points (3, 1) and (0, -3).
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.
Write the equation in slope-intercept form of the line that passes through the points (3, 1) and (0, -3).
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 ?
