How do you solve rational expressions step by step?

1. Solution:
2. Step 1: Factor all denominators and determine the LCD.
3. Step 2: Identify the restrictions. In this case, they are x≠−2 x ≠ − 2 and x≠−3 x ≠ − 3 .
4. Step 3: Multiply both sides of the equation by the LCD.
5. Step 4: Solve the resulting equation.
6. Step 5: Check for extraneous solutions.

How are adding and subtracting integers related to adding and subtracting other rational numbers?

Adding and subtracting integers is related to adding and subtracting other rational numbers. The sign of a product is determined by the signs of the factors in a multiplication expression. The same properties used to multiply integers also apply when multiplying rational numbers.

How do you simplify an expression step by step?

To simplify any algebraic expression, the following are the basic rules and steps:

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.

What is the easiest way to solve a rational equation?

One of the most straightforward ways to solve a rational equation is to eliminate denominators with the common denominator, then use properties of equality to isolate the variable.

How do you subtract rational expressions?

To subtract rational expressions, they must also have a common denominator. When the denominators are the same, you subtract the numerators and place the difference over the common denominator. To subtract rational expressions, subtract the numerators and place the difference over the common denominator.

How is adding and subtracting fractions similar to adding and subtracting rational expressions?

We can add and subtract rational expressions in much the same way as we add and subtract numerical fractions. To add or subtract two numerical fractions with the same denominator, we simply add or subtract the numerators, and write the result over the common denominator.

What are the steps to adding rational expressions?

There are a few steps to follow when you add or subtract rational expressions with unlike denominators. To add or subtract rational expressions with unlike denominators, first find the LCM of the denominator. Write each expression using the LCD. Make sure each term has the LCD as its denominator. Add or subtract the numerators. Simplify as needed.

How do you add and subtract negative numbers?

Using a Number Line Draw your number line. Start with the first number in your problem. Review how to add positive numbers. Subtract positive numbers by moving left. Add a negative number. Subtract a negative number. Add two negative numbers. Subtract two negative numbers.

How to add and subtract rational number?

– When adding rational numbers with the same sign, add their absolute values. The sum has the same sign as the addends. – To add rational numbers with different signs, subtract the lesser absolute value from the greater absolute value. – To subtract a rational number, add its additive inverse.

How are adding and subtracting integers related?

Answer and Explanation: Adding integers means adding integers with the same signs, while subtracting integers means adding the integers of opposite signs. The following examples can make the process clear. Adding integers: (+5) and (+6) (+5) + (+6) = 5 + 6 = 11.