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Factor each of the denominators. Make up an expression that includes all of the factors in the denominators. Example (using "^" for powers):If you have denominators (x^2 - 1), (x-1)^2 and (x+1), factor the first expression, to get denominators: (x+1)(x-1), (x-1)^2 and (x+1). Taking each factor that appears at least once, you get the common denominator: (x+1)(x-1)^2. Note: If a factor, as in this case x-1, appears more than once in one of the expressions, you need to use the highest power.
Wiki User
∙ 7y ago
Wiki User
∙ 6y agoIt is the least common multiple of the denominators.
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When solving a rational equation why it is OK to remove the denominator by multiplying both sides by the LCD and why can you not do the same operation when simplifying a rational expression?
You can multiply both sides by the LCD because as a rule, you can do anything to one side of an equation as long as you do the same thing to the other side. But when you simplify a rational EXPRESSION, you don't have an EQUATION. So there is no other side. So you can't multiply both sides by anything. You can, however, multiply both the numerator and the denominator by the same term (except zero).
What is equal to the rational expression below when x 2 or 3?
I can see no rational expression below.
A rational expression that cannot be simplified?
If there is no common factor other than 1 in a rational expression, it is in simplest terms or form.
Is the equation of a rational function does not have to contain a rational expression true?
Yes.
Who discovered rational algebraic expression?
me.
A rational expression minus another rational expression is?
Another rational expression.
A rational expression multiplied by another rational expression is a rational expression?
Yes.
What fraction having rational expression in its numerator or denominator or both?
If you divide a rational expression by another rational expression, you will again get a rational expression.
How would you find the LCD when adding or subtracting rational expressions with different denominators?
No
Is a rational number is a rational expression?
Any number that can be expressed as a fraction is a rational number otherwise it is an irrational number.
Can you always cross multiply rational expressions?
If you need to simplify a rational expression with two or more terms, you need to find the LCD in order to write the expression as a single fraction. If the denominators have not common factors, then the only way is to multiply each numerator with the all denominators of the other terms. If you have an equation in the proportion form, then cross multiply. If both sides of the equation have more than two rational terms, then work at both sides until you have a proportion, then cross multiply. But I would prefer to multiply each term at both sides by the LCD in order to eliminate the denominators.
What is the rational expression of 1 divided by 3z plus 5?
The expression written in the question is the rational expression.
When solving a rational equation why it is OK to remove the denominator by multiplying both sides by the LCD and why can you not do the same operation when simplifying a rational expression?
You can multiply both sides by the LCD because as a rule, you can do anything to one side of an equation as long as you do the same thing to the other side. But when you simplify a rational EXPRESSION, you don't have an EQUATION. So there is no other side. So you can't multiply both sides by anything. You can, however, multiply both the numerator and the denominator by the same term (except zero).
What is equal to the rational expression below when x 2 or 3?
I can see no rational expression below.
factor 21x + 16?
The expression is not factorable with rational numbers.
What is subtraction of rational expressions?
another rational expression.
What happens if you are checking a solution for the rational expression and find that it makes one of the denomiators equal to zero?
If one of the denominators becomes equal to zero when checking a solution for a rational expression, it means that the expression is undefined at that point. This is because division by zero is not defined in mathematics. Therefore, the solution you found is not valid for that rational expression.
