Simplifying Rational Expressions: Advanced Techniques

This video tutorial continues with simplifying rational expressions using a worksheet from the CUDA software website. It covers problems 9 to 14, demonstrating how to simplify expressions by factoring numerators and denominators, canceling common terms, and applying the laws of exponents. Each problem is broken down step-by-step, showing how to identify common factors, factor quadratics, and simplify complex expressions. The video emphasizes understanding the process of simplification and offers alternative methods for solving the problems.

What is the simplified form of the expression with a numerator of 3x squared minus 12x?

• 3x times (X minus 4)

• 3x plus 4

• 12x

• X minus 4

What is the simplified form of the expression with a numerator of X minus 4 and a denominator of 3x squared minus 12x?

• 12x

• 3x squared

• X minus 4

• 1 over 3x

What is the result of simplifying the expression with a numerator of 15 and a denominator of 24?

• Cannot be simplified

• 15 over 24

• 5 over 8

• 5 over 3

When factoring out the greatest common factor from the numerator 15a and the denominator 24, what is the simplified result?

• 5a minus 1 over 8

• 15a over 24

• 3 over 8

• 5a over 3

How can the expression V squared minus 10v plus 25 be factored?

• Cannot be factored

• V squared minus 25

• V plus 5 times V plus 5

• V minus 5 times V minus 5

How can the expression V squared minus 10v plus 25 be rewritten using the law of exponents?

• V minus 5 to the power of 1

• V plus 5 squared

• V minus 10v plus 25

• V minus 5 squared

What is the result of simplifying the expression with a numerator of X plus 6 and a denominator of X squared minus X minus 6?

• 1 over X minus 1

• Cannot be simplified

• X plus 6

• X minus 1

What common factor is used to simplify the expression 27x over 18?

• 3

• 18

• 9

• 6

What is the simplified form of the expression with a numerator of 27x and a denominator of 18?

• Cannot be simplified

• 9x over 6

• 27x over 18

• 3x over 2

What is the simplified form of the expression with a numerator of V plus 3 times V minus 10 and a denominator of V plus 3 times V minus 8?

• Cannot be simplified

• V minus 10 over V plus 3

• V plus 3 over V minus 8

• V minus 10 over V minus 8