Multiply Rational Expressions

This is a tutorial,with examples and detailed solutions, on how to multply and simplify rational expressions.

Example 1: Multiply and simplify the rational expressions

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Detailed Solution to Example 1

  • Multiply the numerator of the first expression by the numerator of the second, and the denominator of the first expression by the denominator of the second.
    rational expressions 2

  • Note that -x + 2 = - (x - 2) in the numerator.
    rational expressions 3

  • Cancel common factors.
    rational expressions 4




Example 2: Multiply and Simplify the rational expression

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Detailed Solution to Example 2

  • Multiply to obtain.
    rational expressions 6

  • Factor terms in the denominator.
    rational expressions 7

  • Cancel common factors to simplify the expression.
    rational expressions 8
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Exercises

Simplify the rational expression.

rational expressions 10 More references to topics related to rational expressions.

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