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Why it is necessary to have common denominators when adding or subtracting rational expressions?
Without such denominators, the addition makes no sense, because you're adding different "sizes" of fraction, per se. Think of it like trying to add 5 feet and 5 inches without converting, and saying the whole thing equals 10 feet. 5 inches clearly are not the same as 5 feet (they aren't even half a foot).
If the equation of a rational function is a rational expression is the function rational?
Yes. Rational functions must contain rational expressions in order to be rational.
Is there a difference between rational expressions and rational equations?
Yes. An equation has an "=" sign.
After multiplying or dividing two rational expressions it is sometimes possible to the resulting expression?
After multiplying or dividing two rational expressions it is sometimes possible to simplify the resulting expression.
Difference between rational numbers and rational expressions?
A Rational number is a fraction of two integers; a rational expression is a fraction that contains at least one variable
In order to subtract two rational expressions by simply subtracting their numerators you must make sure that their?
In order to subtract two rational expressions by simply subtracting their numerators you must make sure that their denominators are equal.
How is doing operations with rational expressions similar or different from doing equations with fractions and how can they be used in real life?
How is doing operations (adding, subtracting, multiplying, and dividing) with rational expressions similar to or different from doing operations with fractions?If you know how to do arithmetic with rational numbers you will understand the arithmetic with rational functions! Doing operations (adding, subtracting, multiplying, and dividing) is very similar. When you areadding or subtracting they both require a common denominator. When multiplying or dividing it works the same for instance reducing by factoring. Operations on rational expressions is similar to doing operations on fractions. You have to come up with a common denominator in order to add or subtract. To multiply the numerators and denominators separated. In division you flip the second fraction and multiply. The difference is that rational expressions can have variable letters and powers in them.
What is the rule of subtracting rational algebraic expressions with the same denominator?
cvxbgfhbfdh
What do you need to be careful of when subtracting rational expressions?
see the signs if is negative or possitive
When subtracting rational expressions with a common denominator always remember to the negative sign?
Distribute
How does the 5 steps help when solving difficult rational expressions?
Do you have a specific example? Try to simplify and eliminate the denominators.
How do you Add rational expressions with common denominators and binomial numerators?
If the denominator is the same, you just add the numerators - just as with plain numbers.
If you are adding or subtracting rational expressions with different polynomial expressions in the denominator explain how you would find the LCD.?
One way is to simply multiply the denominators together. That won't give you the LEAST common denominator, but it will give you A common denominator.You can also use one of the several methods explained in the Wikipedia article on "Least common multiple". For example, you can split each number up into prime factors, and multiply all the unique prime factors together. If a prime factor appears more than once in some of the numbers, use the highest power.
Why it is necessary to have common denominators when adding or subtracting rational expressions?
Without such denominators, the addition makes no sense, because you're adding different "sizes" of fraction, per se. Think of it like trying to add 5 feet and 5 inches without converting, and saying the whole thing equals 10 feet. 5 inches clearly are not the same as 5 feet (they aren't even half a foot).
Why can't the denominators of rational expressions be zero How can we find the domain of a rational function?
Rational expressions are fractions and are therefore undefined if the denominator is zero; the domain of a rational function is all real numbers except those that make the denominator of the related rational expression equal to 0. If a denominator contains variables, set it equal to zero and solve.
Adding and Subtracting Rational Expressions?
8-3/x-3+x/x-9=
Describe how multiplication and division of rational expressions can be done?
Suppose X1 = N1/D1 and X2 = N2/D2 are two rational expressions, where the numerators N1 and N2 and denominators D1 and D2 are simpler expressions. Then X1 * X2 = (N1*N2)/(D1*D2) and X1 / X2 = (N1*D2)/(D1*N2).
