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Q: How would you find the LCD when adding or subtracting rational expressions with different denominators?
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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.


If you are adding or subtracting rational expressions with different polynomial expressions in the denominator explain how you would find the LCD.?

To find the least common denominator (LCD) when adding or subtracting rational expressions with different polynomial expressions in the denominator, first factor each denominator completely. Then, identify the common factors and include each factor to the highest power it appears in any of the denominators. Finally, multiply these factors together to determine the LCD.


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).


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.


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).