Question
Express the following as a rational expression in its lowest terms .
Hint:
Simplify means to make it simple. In mathematics, simplify is the reduction of an expression/fraction into irreducible forms.
We are asked to reduce the expression into the lowest form.
The correct answer is: the expression in the lowest form is , 2x / (x - 2)
Step 1 of 2:
The given expression is,
Take the reciprocal of the second expression and multiply it with the first one. This procedure has the same effect as division.
Step 2 of 2:
Simplify the expression and cancel out the common factors;
Thus, the expression in the lowest form is,
Dividing an expression with the other expression and multiplying it with the reciprocal of the second expression has the same effect.
Related Questions to study
What is the simplified form of 
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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 ?
What is the product of 
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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.
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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?
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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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Write a radical equation that relates a square’s perimeter to its area. Explain your reasoning. Use s to represent the side length of the square.
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Explain how to identify an extraneous solution for an equation containing a radical expression
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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 : 
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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.
