### Chapter R (R.5-R.7)

```R
Review of
Basic
Concepts
Sections R.5–R.7
R
Review of Basic Concepts
R.5 Rational Expressions
R.6 Rational Exponents
R-71
R.5 Rational Expressions
Rational Expressions ▪ Lowest Terms of a Rational Expression ▪
Multiplication and Division ▪ Addition and Subtraction ▪
Complex Fractions
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R.5
Example 1(a) Writing Rational Expressions in Lowest
Terms (page 44)
Write the rational expression in lowest terms.
(a)
Factor.
Divide out the
common factor.
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R.5
Example 1(b) Writing Rational Expressions in Lowest
Terms (page 44)
Write the rational expression in lowest terms.
(b)
Factor.
Multiply numerator
and denominator
by –1.
Divide out the
common factor.
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R.5
Example 2(a) Multiplying or Dividing
Rational Expressions (page 45)
Multiply.
Multiply.
Factor.
Divide out common factors,
then simplify.
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R.5
Example 2(b) Multiplying or Dividing
Rational Expressions (page 45)
Multiply.
Factor.
Multiply.
Divide out common factors,
then simplify.
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R.5
Example 2(c) Multiplying or Dividing
Rational Expressions (page 45)
Divide.
Multiply by the
reciprocal of the
divisor.
Factor.
Multiply, then divide out
common factors.
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R.5
Example 2(d) Multiplying or Dividing
Rational Expressions (page 45)
Multiply.
Factor.
Multiply, then divide out
common factors.
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R.5
Example 3(a) Adding or Subtracting
Rational Expressions (page 47)
Find the LCD:
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R.5
Example 3(b) Adding or Subtracting
Rational Expressions (page 47)
Find the LCD:
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R.5
Example 3(c) Adding or Subtracting
Rational Expressions (page 47)
Subtract
Find the LCD:
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R.5
Example 4(a) Simplifying Complex Fractions (page 49)
Simplify
Multiply the numerator and denominator by the
LCD of all the fractions, x2.