10-1 simplifying rational expressions 9p12:simplify rational expressions
DESCRIPTION
Example 3 Monomial Reduce To reduce (divide) exponents-subtractTRANSCRIPT
10-1 Simplifying Rational Expressions
9P12:Simplify rational expressions
RememberCan only simplify whole binomials or trinomialsthat are equal- not in parts!! Ex1: Ex 2:
)42(6)62(3
xx
)12(2)12(4
xx
)12(2)12(22
xx
2Binomials that match will cancel because no matter what you put in for x, you get the same numerator and denominator =1 !!!
)2(322)3(23
xx
)2(2)3(
xx
Binomials here do not cancel. If you put a
number in for x, you do not get the same numerator and denominator ≠1 !!
Example 3
yxyx7
35
186
yxyx7
35
636
2
2
3xy
Monomial
MonomialReduce
To reduce (divide) exponents-subtract
Example 4)
yy482412
GCF
yy48
)2(12
yy42
Monomial
Binomial
Can’t be reduced further
yy412)2(12
Example 5
xxxx23
22
2
GCF
)23()12(
xxxx We can’t cancel parts of
binomial so we are done
)23()12(
xx
Example 6
121
2
2
aa
a
Don’t forget your factor flowchart to
help factor binomials and
trinomials
The numerator Difference of
squares
122)1)(1(
2 aaa
aa
121
aa
)1)(12()1)(1(
aaaa
Remember to turn trinomial back to FOIL
Example 7
)52(325
aa Learn the -1 trick!!
If binomials have the right coefficients but opposite sign
factor out a -1
)52(3)52(1
aa
31
Example 8
89
45
bbbb
)1()1(
8
4
bbbb
)1()1(
8
4
bbbb
4
1b
Example 9
152183
2
2
yyyy
15351836
2
2
yyyyyy
)5)(3()6)(3(
yyyy
)5()6(
yy
Assignment
• Day 1: 10-1/434-435/1-15, 48
• Day 2: 10-1/434-435/16-36, 47,49
