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Simplifying rational expressions and restrictions - Rational Equations and Expressions

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

Notes:
\cdot multiplication rule: xaxb=xa+bx^a \cdot x^b=x^{a+b}

\cdot division rule: xaxb=xab\frac{x^a}{x^b}=x^{a-b}
  • 1.
    For each rational expression:
    i) determine the non-permissible values of the variable, then
    ii) simplify the rational expression
  • 2.
    For each rational expression:
    i) determine the non-permissible values of the variable, then
    ii) simplify the rational expression
  • 3.
    For each rational expression:
    i) determine the non-permissible values of the variable, then
    ii) simplify the rational expression
  • 4.
    The area of a rectangular window can be expressed as 4x2+13x+34{x^2} + 13x + 3, while its length can be expressed as 4x+14x + 1.
  • 5.
    For each rational expression:
    i) determine the non-permissible values for yy in terms of xx , then
    ii) simplify, where possible.
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Simplifying rational expressions and restrictions

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