Simplifying Rational Expressions: Adding and Subtracting Techniques

What is the result of multiplying two terms that both have negative signs?

• Undefined

• Positive product

• Negative product

• Zero

When factorizing, if you need a positive outcome, where should the larger number be placed in relation to the sign?

• Beside the negative sign

• Beside the positive sign

• Does not matter

• Always in the middle

What is crucial to check after factorizing an expression?

• Correctness of factorization

• If the factors are prime

• Complexity of the expression

• Number of terms

What happens when you cancel common factors in an expression?

• The expression simplifies

• The expression becomes more complex

• The expression remains unchanged

• The expression becomes undefined

What must be avoided when simplifying expressions to prevent errors?

• Subtracting terms

• Adding terms

• Dividing by zero

• Multiplying terms

What is the domain restriction when 'a' equals -3?

• a causes an error in calculation

• a must not be used

• a is defined

• a is undefined

Why is the expression not valid when 'a' equals 2, even though it is defined?

• Because it simplifies to zero

• Because it results in an undefined operation

• Because it violates a fundamental rule of algebra

• Because it does not affect the expression

What is the likelihood of randomly picking the number 2 from a set of numbers?

• Depends on the set size

• Highly likely

• Cannot determine

• Unlikely

What should you always remember when simplifying algebraic expressions?

• To simplify to a single term

• To add more variables

• To use complex numbers

• To check your work

What is the final step in the process of simplifying the given algebraic expression?

• Factorizing the top and bottom

• Canceling out worries

• Reviewing the domain restrictions

• All of the above