What Is The First Step Of Simplifying And Multiplying Rational Expressions?

First,

factor the numerators and denominators of both fractions

. Factor the rational expressions. Cancel out common terms in the numerators and denominators and rewrite the remaining terms. Factor the numerators and denominators of each fraction.

What is the first step in both multiplying and solving rational expressions?

The first step in solving rational equations is

to transform the equation into a polynomial equation

. This is accomplished by clearing the fraction which means multiplying the entire equation by the common denominator of all the rational expressions. Then you should solve using what you already know.

What is the first step when simplifying a rational expression?

The first step in simplifying a rational expression is

to determine the domainThe set of all possible inputs of a function which allow the function to work

., the set of all possible values of the variables. The denominator in a fraction cannot be zero because division by zero is undefined.

How do you multiply and simplify rational expressions?

1. Step 1: Factor both the numerator and the denominator. …
2. Step 2: Write as one fraction. …
3. Step 3: Simplify the rational expression. …
4. Step 4: Multiply any remaining factors in the numerator and/or denominator. …
5. Step 1: Factor both the numerator and the denominator.
6. Step 2: Write as one fraction.

How do you simplify rational expressions step by step?

1. Step 1: Factor the numerator and the denominator.
2. Step 2: List restricted values.
3. Step 3: Cancel common factors.
4. Step 4: Reduce to lowest terms and note any restricted values not implied by the expression.

How do you solve rational expressions step by step?

1. Find the common denominator.
2. Multiply everything by the common denominator.
3. Simplify.
4. Check the answer(s) to make sure there isn’t an extraneous solution.

What are the steps in adding and subtracting rational algebraic expressions?

1. Step 1: Combine the numerators together.
2. Step 2: Put the sum or difference found in step 1 over the common denominator.
3. Step 3: Reduce to lowest terms as shown in Tutorial 32: Multiplying and Dividing Rational Expressions.
4. Step 1: Combine the numerators together.

What are the steps in dividing rational algebraic expressions?

1. Factor both the numerators and denominators of each fraction. …
2. Change from division to multiplication sign and flip the rational expressions after the operation sign.
3. Simplify the fractions by canceling common terms in the numerators and denominators.

What are the rules for multiplying rational expressions?

• Completely factor all numerators and denominators.
• Reduce all common factors.
• Either multiply the denominators and numerators or leave the answer in factored form.

How do I simplify an expression?

1. Remove any grouping symbol such as brackets and parentheses by multiplying factors.
2. Use the exponent rule to remove grouping if the terms are containing exponents.
3. Combine the like terms by addition or subtraction.
4. Combine the constants.

How do you identify a rational expression?

Rational expressions are fractions containing polynomials. They can be simplified much like numeric fractions. To simplify a rational expression, first

determine common factors of the numerator and denominator, and then remove them by rewriting them as expressions equal to 1

.

What is the example of rational equation?

Equations that contain rational expressions are called rational equations. For example,

2x+14=x3 2 x + 1 4 = x 3

is a rational equation. Rational equations can be useful for representing real-life situations and for finding answers to real problems.