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Multiplying and Dividing Rational Expressions

  1. 1
    Simplify and state restrictions. $$\frac{x^2+7x+12}{x^2+x-6}\times\frac{x^2+5x-14}{x^2-x-20}$$
  2. 2
    Simplify and state restrictions. $$\frac{2x^2+7x+6}{2x^2+5x+2}\div\frac{4x^2+16x+15}{2x^2-3x-20}$$

    For extra review on trinomial factoring, click here
  3. 3
    Simplify and state restrictions. $$\frac{2x^2+5x+3}{2x^2+9x+9}\times\frac{x^2-9}{2x^2-5x-3}$$
  4. 4
    Simplify and state restrictions. $$\frac{9x^2-3x-2}{3x^2+10x-8}\div\frac{6x^2-7x-3}{2x^2+5x-12}$$
  5. 5
    Simplify and state restrictions. $$\frac{16-9x^2}{6x^2-x-12}\times\frac{x^2-2x-3}{3x^2-x-4}$$

    For extra review on factoring a difference of squares, click here
  6. 6
    Simplify and state restrictions. $$\frac{9-x^2}{3x^2+11x+6}\div\frac{2x^2-5x-3}{6x^2-5x-4}$$
  7. 7
    Simplify and state restrictions. $$\frac{4x^3-11x^2-3x}{8x^2-10x-3}\times\frac{9x-4x^3}{3x^3-5x^2-12x}$$
  8. 8
    Simplify and state restrictions. $$\frac{3x^2+13x+4}{6x^3-x^2-x}\div\frac{2x^2+5x-12}{4x^2-8x+3}$$
  9. 9
    Simplify and state restrictions. $$\frac{6x^2-4x}{x^2-x-12}\div\frac{2x-3x^2}{3x^2+14x+15}$$
  10. 10
    Simplify and state restrictions. $$\frac{3-5x-2x^2}{5-12x+4x^2}\times\frac{2x^2-13x+20}{x^2+3x}$$

$$e=mc^2$$