11.4 - Multiplying and Dividing Rational Expressions

Vocabulary

100

Rational expression

A fraction with polynomials in the numerator and denominator

200

LCD

Lowest common denomintor

300

Reciprocal

The flip of a fraction (ex: x/y becomes y/x)

Easy Problems

100

Find the product

3ab/4c^4 * 16c^2/9b

4a/3c^2

200

Find the quotient

(c^5/2) / (c^3/6d^2)

3c^2d^2

300

Find the product

12c^3/21b * 14b^2/6c

4bc^2/3

Hard Problems

100

Find the quotient

(y^2 - 1 / y^2 - 49) / (y + 1 / y - 7)

(y - 1) / (y - 7)

200

Find the product

(n^2 + 7n + 12 / 16n^2) * (2n / n + 3)

(n + 4) / 8n

300

Find the quotient

(5x^2 / x^2 - 5x + 4) / (10x / x - 1)

x / 2(x + 4)