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.
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).
I can see no rational expression below.
If there is no common factor other than 1 in a rational expression, it is in simplest terms or form.
Yes.
me.
Another rational expression.
Yes.
No
If you divide a rational expression by another rational expression, you will again get a rational expression.
Any number that can be expressed as a fraction is a rational number otherwise it is an irrational number.
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.
The expression written in the question is the 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).
I can see no rational expression below.
The expression is not factorable with rational numbers.
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.
another rational expression.