Mastering Multiplication and Division of Rational Expressions

What is the first step in multiplying two fractions?

• Add the numerators

• Multiply straight across

• Subtract the denominators

• Divide the numerators

When multiplying rational expressions, what should you do before multiplying straight across?

• Add the fractions

• Factor the numerators and denominators

• Subtract the fractions

• Divide the numerators

In the example x^2/(x^2-4) * (x^2-5x+6)/(x^2-3x), what is the factored form of x^2-4?

• (x-1)(x+1)

• (x-4)(x+4)

• (x-3)(x+3)

• (x-2)(x+2)

What common factor can be canceled out in the expression (x^2-5x+6)/(x^2-3x)?

• x-2

• x+3

• x+2

• x-3

In the expression 5x+5, what is the greatest common factor?

• 5

• 10

• x

• 1

What is the factored form of x^2-4x+4?

• (x+2)(x+2)

• (x-4)(x+4)

• (x-2)(x+2)

• (x-2)(x-2)

How do you convert a division of rational expressions into a multiplication problem?

• Add the fractions

• Subtract the fractions

• Multiply by the reciprocal of the second fraction

• Divide by the reciprocal of the first fraction

What is the first step in simplifying the division of 4x-8/(x+2) by (x-2)/(x^2-4)?

• Subtract the fractions

• Add the fractions

• Change division to multiplication

• Factor the numerators

What is the factored form of x^2-4?

• (x-4)(x+4)

• (x-1)(x+1)

• (x-2)(x+2)

• (x-3)(x+3)

After converting division to multiplication, what should you do next?

• Add the fractions

• Subtract the fractions

• Divide the numerators

• Factor all numerators and denominators