Simplify, Multiply and Divide Rational Expressions

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Presentation transcript:

Simplify, Multiply and Divide Rational Expressions 1/17/2019 5:36 PM

Example 1 Simplify

Example 2 Simplify 2 1 2 1 Subtract exponents variable stays where largest exponent is 1

Example 3 Simplify 8 5

Solve the factors (before cancelling) by setting them equal to zero Restrictions: Any value that makes the rational expression undefined (results in a zero in the denominator) Factor the expression Solve the factors (before cancelling) by setting them equal to zero The results are the restrictions 1/17/2019 5:36 PM

Example 4 Simplify Identify any x-values for which the expression is undefined. 1/17/2019 5:36 PM

Example 6 Simplify Identify any x-values for which the expression is undefined. If it is not in the order you usually see…switch it!! Factor out –1 in the numerator so that x2 is positive, and reorder the terms. 1/17/2019 5:36 PM

Example 7 Simplify Do NOT Cancel the “x” or the “3”!!!!! 1/17/2019 5:36 PM

Rules of Multiplying Expressions Factor numberator(s) and denominator(s) Extend the fraction bar Cancel [top/bottom] out the factors if needed and simplify. 1/17/2019 5:36 PM

Rules of Divide Expressions KFC!!! Keep it (the first fraction), Flip it (the second fraction), Change it (the sign – division becomes multiplication) Multiply and simplify! 1/17/2019 5:36 PM

Example 9 Simplify 1/17/2019 5:36 PM

Example 10 1/17/2019 5:36 PM

Example 11 Simplify 1/17/2019 5:36 PM

Example 12 Simplify 1/17/2019 5:36 PM