Mastering Multiplication and Division of Rational Expressions

The video tutorial covers rational expressions, focusing on multiplying and dividing them. It begins with a review of basic fraction multiplication, then extends to expressions with variables. The tutorial explains how to factor and simplify complex expressions, and how to handle division by using reciprocals. The video concludes with practice problems to reinforce the concepts.

What is the result of multiplying 2/5 by 10/3?

• 4/3

• 3/4

• 2/3

• 5/3

When multiplying fractions, what should you do with the numerators and denominators?

• Add them

• Subtract them

• Multiply them

• Divide them

What is the simplified form of 3/8 multiplied by 8/1?

• 3/1

• 6/1

• 1/3

• 8/3

What is the reciprocal of 7/10?

• 1/7

• 10/7

• 7/10

• 1/10

What is the result of dividing 3/7 by 10/4?

• 7/10

• 10/7

• 5/3

• 3/5

What is the simplified form of 2x^2/3x multiplied by 6x^2/12x^3?

• 1/3

• 2/3

• 3/1

• 1/2

What is the greatest common factor of 3x^2 + 3x?

• 3

• x

• 3x

• x^2

What is the simplified form of (5x + 10)/(x^2 + 5x + 6) multiplied by (x + 3)/1?

• 15

• 5

• 10

• 20

What should you do when you see division in a rational expression?

• Divide by the reciprocal

• Multiply by the reciprocal

• Subtract the fractions

• Add the fractions

What is the simplified form of (x^2 + 8x + 12)/(3x^2) divided by (x + 6)/24?

• (x + 2 + 8)/(5x^2)

• (x + 2 + 8)/(4x^2)

• (x + 2 + 8)/(x^2)

• (x + 2 + 8)/(3x^2)