Algebraic Simplification

In the following examples and problems, the term "simplify" indicates to eliminate compound fractions, factor as much as possible, put terms over a common denominator when feasible, and avoid negative exponents.

**Ex 1** Simplify the expression

.

**Sol**

.

**Ex 2** Simplify the expression

.

**Sol**

.

**Pr A** Simplify the expression
.

**Pr B** Simplify the expression

.

**Pr C** Simplify the expression
by eliminating the radicals in the
numerator.

**Pr 1** Simplify the expression

.

**Pr 2** Simplify the expression

.

**Pr 3** Simplify the expression

.

**Pr 4** Simplify the expression

.

**Pr 5** Simplify the expression

.

**Pr 6** Simplify the expression

.

**Pr 7** Simplify the expression

.

**Pr 8** Simplify the expression

.

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Lawrence Marx 2012-08-13