Simplifying Rational Expressions

Arthur Morris guides viewers through simplifying rational expressions by factoring polynomials using the greatest common factor (GCF). The video covers the process of factoring both the numerator and denominator, simplifying the expression by canceling out common terms, and concludes with a simplified fraction. The tutorial emphasizes the importance of understanding factoring steps and provides a clear example of the process.

What is the main topic discussed in this video?

• Graphing linear equations

• Finding the derivative of a function

• Simplifying rational expressions

• Solving quadratic equations

Which method is primarily used to simplify rational expressions in this video?

• Completing the square

• Using the quadratic formula

• Greatest common factor (GCF) factoring

• Synthetic division

What is the first step in simplifying a rational expression using GCF?

• Divide the terms

• Multiply the terms

• Add the terms

• Factor out the GCF

What is the greatest common factor (GCF) of the terms 7u^2 and 56u?

• 8u

• 56u

• u^2

• 7u

After factoring out the GCF from the numerator, what expression is left inside the parentheses?

• u - 8

• u + 8

• u^2 - 8

• u^2 + 8

What should you do after factoring out the GCF from the numerator?

• Subtract the terms

• Multiply the terms

• Divide each term by the GCF

• Add the terms

What is the GCF of the terms in the denominator?

• 6u

• 7u

• u^2

• 8u

What expression is left inside the parentheses after factoring the denominator?

• u^2 + 8

• u^2 - 8

• u - 8

• u + 8

Which terms can be canceled out during the simplification process?

• 7u and 6u

• 7/6 and u - 8

• u^2 and 8

• u + 8 and u - 8

What is the final simplified form of the rational expression?

• 6/7

• u/6

• 7/6

• 7u/6u