Adding and Subtracting Rational Expressions Explained

What is the first step in adding or subtracting rational expressions?

• Find a common denominator

• Identify the operation

• Combine the numerators

• Simplify the expression

Why is it necessary to apply parentheses when subtracting expressions?

• To simplify the denominator

• To ensure correct distribution

• To correctly apply the operation to the whole expression

• To combine like terms

What is the result of simplifying the expression (x+1) - (x+2) over x-1?

• 2/x-1

• -1/x-1

• 1/x-1

• 3/x-1

How do you find the least common denominator for 1/3 and 1/4?

• Subtract the denominators

• Multiply the denominators

• Find the least common multiple of 3 and 4

• Add the denominators

What is the LCD of x+2 and x+4 in polynomial expressions?

• 2x+6

• x+2 times x+4

• x^2+6x+8

• x+6

How do you obtain the LCD when denominators are different?

• By adding the denominators

• By factoring each denominator

• By multiplying the denominators

• By finding the least common multiple

When simplifying expressions, why is it important to distribute correctly?

• To identify excluded values

• To ensure correct subtraction and addition

• To find the common denominator

• To simplify the numerator

What does factoring help with in rational expressions?

• Combining like terms

• Simplifying the expression

• Finding the LCD

• Identifying the operation

What are excluded values in rational expressions?

• Values that make the denominator zero

• Values that make the numerator zero

• Values that simplify the expression

• Values that are not in the domain

What is the purpose of writing the final answer in factored form?

• To find the common denominator

• To apply the operation correctly

• To simplify further if possible

• To identify the LCD