1. How are rational algebraic expressions being simplified? What methods are being applied?
2. Is it important to identify factoring techniques that must be used to simplify rational algebraic expressions? Why?
3. Does cancellation method and dividing common factors ylelds the same answer?
Answers & Comments
Answer:
1.A rational expression is considered simplified if the numerator and denominator have no factors in common. We can simplify rational expressions in much the same way as we simplify numerical fractions.
2.Because its the proper way to transform to standard form
3.However, it is possible to cancel out factors in a different order. You should still arrive at the same answer, regardless of the order you choose. Summary: To multiply fractions by cancelling common factors, divide out factors that are common to both a numerator and a denominator