12.10 Simplifying rational expressions and restrictions

Simplifying rational expressions and restrictions

A rational expression is a fraction that its numerator and/or denominator are polynomials. In this lesson, we will first learn how to find the non-permissible values of the variable in a rational expression. Then, we will how to simplify rational expressions.

Lessons

  • 1.
    For each rational expression:
    i) determine the nonpermissible values of the variable, then
    ii) simplify the rational expression
    • b)
      6x34x\frac{{6{x^3}}}{{4x}}
    • c)
      5xx28x+15\frac{{5 - {x}}}{{{x^2} - 8x + 15}}
    • d)
      x2+13x+40x225\frac{{{x^2} + 13x + 40}}{{{x^2} - 25}}
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Simplifying rational expressions and restrictions

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