Multiplying and Dividing Rational Expression

1. Multiply [(x^2-2x-15)/(xy)] divided by [(x^2+x)/(x-5)]

(x+3)(x+1)

(x+3)(x+1) / y

2. Multiply [(xy+3y^2)/(x+3y)] divided by [(y-1)(y^3-y)

(y-1)/(y^2-1)

(xy + y)/(y-1)

3. Multiply [(x^2-y^2)/(x^2+y^2)] divided by [(x^2+y^2)/(x^3-y^3)

   (x+y)/(x^3-y^3)

   (x+y)/(x^2+xy+y^2)

   (x-y)/[(x+y)(x^2-xy+y^2)]

4. Divide [(x+y)/(x+1)] divided by [(x^2-y^2)/(x^2-1)]

(x+y)/(x^2-y^2)

[(x+y)(x-y)(x+y)]/[(x+1)(x-1)(x+1)]

5. Divide [(x^2+xa+xb+ba)/(x^2+xc+xa+ac] divided by [(x^2+xb+xa+ba)/(x^2+xc+xb+cb)] .

Hint: Try factoring by grouping.

[(x+a)(x+b)/(x+c)(x+c)]

(xb+xa+2ba)/(2xc+ac+cb)

6. Divide [(x^2+1)/(x^2-1) divided by (x^2+1)]

x² + 1

1/(x^2-1)

(x^2+1)^2 / (x^2-1)

Copyright © 2001 Donna Tupper.