Simplifying Complex Rational Expressions

The video tutorial covers operations with rational expressions, focusing on combining multiplication, division, addition, and subtraction. It provides step-by-step examples of simplifying complex fractions by finding common denominators, using the keep-change-flip method, and factoring expressions. The tutorial emphasizes understanding the process of simplifying rational expressions and highlights key techniques for achieving this.

What operations are combined in the last part of the first learning target?

• Addition and subtraction

• Multiplication and division

• All of the above

• None of the above

What is the first step in simplifying complex rational expressions?

• Multiplying the numerators

• Flipping the fractions

• Finding common denominators

• Changing division to multiplication

In the example problem, what does the 'keep, change, flip' method refer to?

• Keeping the first fraction, changing the operation to division, and flipping the second fraction

• Keeping the first fraction, changing the operation to subtraction, and flipping the second fraction

• Keeping the first fraction, changing the operation to multiplication, and flipping the second fraction

• Keeping the first fraction, changing the operation to addition, and flipping the second fraction

In the first example problem, what happens to the common factors in the numerator and denominator?

• They cancel each other out

• They are multiplied together

• They are subtracted from each other

• They are added together

When finding a common denominator for the top fractions, what should you do if one fraction has a whole number?

• Ignore the whole number

• Multiply the whole number by the common denominator

• Put the whole number over 1

• Subtract the whole number from the other fraction

In the second example problem, what is the least common denominator for the fractions with denominators x+3 and x-3?

• None of the above

• x+3 and x-3

• x+3

• x-3

What should you do after finding the common denominator for the top and bottom fractions?

• Subtract the fractions

• Divide the fractions

• Combine the fractions into one fraction

• Add the fractions

In the final example, what is the common denominator for the fractions with the same denominator x+2?

• x+2

• x-3

• x+3

• x-2

What is the final step in simplifying complex rational expressions?

• Factoring and canceling out common factors

• Changing the operation to multiplication

• Finding the common denominator

• Multiplying the fractions

What is the result of simplifying the expression 6x over x squared plus 4x plus 4 times x plus 2 over 11?

• 6x over x squared plus 4x plus 4

• 6x over 11

• 6x over x plus 2 times 11

• 6x over 11 times x plus 2