6 Factoring and Fractions

LEARNING OUTCOMES

After completion of this chapter, the student should be able to:

  • Factor algebraic expressions using common factors, difference of squares, sum and difference of cubes, grouping, and techniques for trinomials

  • Simplify algebraic fractions

  • Add, subtract, multiply, and divide algebraic fractions

  • Solve equations involving algebraic fractions

  • Simplify complex fractions

In this chapter, we further develop operations with products, quotients, and fractions and show how they can be utilized to solve certain types of equations. These algebraic methods are extremely useful in many applied problems as well as in higher-level mathematics.

The development of the symbols now used in algebra in itself led to advances ...

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