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Learn to simplify rational expressions by matching binomials, reducing monomials and using GCF. Cancel out equivalent parts and factor binomials with the -1 trick. Practice assignments included.
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10-1 Simplifying Rational Expressions 9P12:Simplify rational expressions
Remember Can only simplify whole binomials or trinomials that are equal- not in parts!! Ex1: Ex 2: Binomials here do not cancel. If you put a number in for x, you do not get the same numerator and denominator ≠1 !! Binomials that match will cancel because no matter what you put in for x, you get the same numerator and denominator =1 !!!
Example 3 Monomial Reduce Monomial To reduce (divide) exponents-subtract
GCF Example 4) Binomial Can’t be reduced further Monomial
Example 5 GCF We can’t cancel parts of binomial so we are done
The numerator Difference of squares Example 6 Don’t forget your factor flowchart to help factor binomials and trinomials Remember to turn trinomial back to FOIL
Example 7 Learn the -1 trick!! If binomials have the right coefficients but opposite sign factor out a -1
Assignment • Day 1: 10-1/434-435/1-15, 48 • Day 2: 10-1/434-435/16-36, 47,49