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Multiply Rational Expressions

Simplify the rational expressions:

  1. $\dfrac{x}{x^2}\times \dfrac{x}{x^2}$
  2. $\dfrac{x}{3x}\times \dfrac{2}{x^2}$
  3. $\dfrac{x+1}{x^2}\times \dfrac{3x}{x+1}$
  4. $\dfrac{9x}{x^2+6x+9}\times \dfrac{x^2}{3x^2+12}$
  5. $\dfrac{3x+3}{3x^3+6x}\times \dfrac{3x}{x+1}$
  6. $\dfrac{x^2-x-12}{x^2+4x+4}\times \dfrac{x+2}{x-4}$
  7. $\dfrac{x^3}{x^2+4x-45}\times \dfrac{x^2+9x}{x^2}$
  8. $\dfrac{x^3-3x^2-40x}{6x}\times \dfrac{3x+12}{x^2-8x}$