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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Multiplying and Dividing Rational Expressions

## Multiplying rational expressions

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o We can work this out by hand. Multiply straight across o

We could also reduce the fractions first could we not. In most cases it is easier to remove the common factors before one begins to multiply.

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o With these type of questions, you must state any restriction on the denominator before you begin to cancel

o Factor each polynomial expression to lowest terms. Then cancel like terms.

o Because it is multiplication, we can cancel out like terms from top and bottom.

ONLY TERMS WHICH ARE MULTIPLIED CAN BE REDUCED.

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## Division of rational Expressions

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o The rule is to invert and multiply the 213 nd fraction. Then we follow our simply rules for multiplication.

• 25/28 * 21/10

o However it is often easier to reduce the fraction before hand, then multiply.

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o State restrictions of the 1st denominator and 2 nd numerator (factor as needed)

o Factor all expressions, invert 213 nd fraction, cancel all like terms

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