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Polynomial Division and Rational Expressions

Polynomial Division and Rational Expressions

Adding and Subtracting Rational Expressions Exercises

Example 1

Do the arithmetic: .

Example 2

Do the arithmetic: .

Example 3

Do the arithmetic: .

Example 4

Do the arithmetic: .

Example 5

Do the arithmetic: .

Example 6

For the following pair of rational expressions, (a) find the LCD and (b) for each rational expression, write the equivalent rational expression whose denominator is the LCD from part (a): .

Example 7

For the following pair of rational expressions, (a) find the LCD and (b) for each rational expression, write the equivalent rational expression whose denominator is the LCD from part (a): .

Example 8

For the following pair of rational expressions, (a) find the LCD and (b) for each rational expression, write the equivalent rational expression whose denominator is the LCD from part (a):.

Example 9

For the following pair of rational expressions, (a) find the LCD and (b) for each rational expression, write the equivalent rational expression whose denominator is the LCD from part (a):
.

Example 10

For the following pair of rational expressions, (a) find the LCD and (b) for each rational expression, write the equivalent rational expression whose denominator is the LCD from part (a): .

Example 11

Do the arithmetic, simplifying each rational expression first, if possible: .

Example 12

Do the arithmetic, simplifying each rational expression first, if possible:

Example 13

Do the arithmetic, simplifying each rational expression first, if possible:

Example 14

Do the arithmetic, simplifying each rational expression first, if possible:

Example 15

Do the arithmetic, simplifying each rational expression first, if possible: .

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