Adding and Subtracting Rational Expressions Explained

The video tutorial covers the process of adding and subtracting rational expressions, emphasizing the need for common denominators. It provides detailed examples, including addition with like terms, subtraction with distribution, and simplification using the AM and AC methods. The tutorial also explains factoring differences of squares and highlights the importance of following steps in simplifying rational expressions.

What happens to the expression 3x/5 + 2/5?

• None of the above

• It becomes 5x/10

• It remains unchanged

• It simplifies to 3x + 2/5

What is the main idea behind adding and subtracting rational expressions?

• You can only add expressions, not subtract them.

• You need different denominators.

• You need to factor the expressions first.

• You need the same denominator.

When combining the numerators 13a and 5a, what is the result?

• 13a^2 + 5a^2

• 18a

• 18

• 8a

How do you simplify the fraction 18/4a^2?

• 9/2a

• 4.5/a^2

• 9a/2

• Cannot be simplified

What is the final step after combining like terms in subtraction of rational expressions?

• Distribute the minus sign.

• Combine the denominators.

• Factor the numerator.

• Reduce the fraction.

What is the result of subtracting 9x + 12 from 7x + 2?

• 2x + 10

• 16x + 14

• -2x + 10

• None of the above

Why is it important not to factor expressions right away in addition and subtraction problems?

• Because it might lead to incorrect cancellation.

• Because it's not necessary.

• Because it complicates the problem.

• Because you should combine numerators first.

In the expression n^2 + 3n - 7 - n - 1, what does the numerator simplify to?

• n^2 + 2n - 6

• n^2 - 4n + 8

• n^2 + 4n - 6

• n^2 + 2n - 8

What does the AC method help with?

• Combining denominators

• Simplifying numerators

• Factoring expressions

• Distributing minus signs

What is the correct simplification of 14k^2 - 9k + 2k?

• 15k^2 - 7k

• 14k^2 + 11k

• 13k^2 - 7k

• 14k^2 - 7k