Question
What is the simplified form of
Hint:
The expansions of some identities are:
We are asked to simplify the expression.
The correct answer is: The simplified expression is: .
Step 1 of 2:
Simplify the numerators of the expression using identities.
We simplified the second expression using the identity,
Step 2 of 2:
Simplify the denominator of the expression and cut of the common terms.
The identity used here is:
The simplified expression is:
You could simplify an expression by removing common values form the numerator and the denominator.
Related Questions to study
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.
If the denominator of a rational expression is what values must be restricted from the domain for x ?
If the denominator of a rational expression is what values must be restricted from the domain for x ?
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Jim is playing a math game where he needs to put a set of three cards in numerical order. His cards show and √10 . Order the cards from least to greatest.
Jim is playing a math game where he needs to put a set of three cards in numerical order. His cards show and √10 . Order the cards from least to greatest.
In the set of numbers from 1 to 10 , Which elements are in both the subsets of even numbers , and the subset of multiples of 5?
In the set of numbers from 1 to 10 , Which elements are in both the subsets of even numbers , and the subset of multiples of 5?
Some, but not all , equations with rational exponents have extraneous solutions. What is the relationship between the exponents and possibility of having extraneous solutions for equations with rational exponents? Explain your reasoning
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Use the equations represented in the graph below to find the point of intersection
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Solve the equation
Solve the equation
Solve the equation
Solve the equation
Solve the equation
Solve the equation
Simplify each expressions and state the domain :
Simplify each expressions and state the domain :
Express the rational expression in its lowest terms .
A rational expression is a fractional form containing polynomials on the denominator and the numerator.
Express the rational expression in its lowest terms .
A rational expression is a fractional form containing polynomials on the denominator and the numerator.