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Tips and Exercises for Factoring and Multiplying Rational Expressions - Prof. Youngmi Kim, Assignments of Pre-Calculus

This worksheet, provided by dr. Y. Kim, covers tips and formulas for factoring various expressions, including common factor, formulas, trial & error, and grouping methods. It also includes exercises for multiplying and dividing rational expressions. #ms112

Typology: Assignments

2009/2010

Uploaded on 02/24/2010

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MS112 Worksheet
Dr. Y. Kim
Tips for Factoring
1. Common Factor
1) =+ nn 4
3
2) =
532
xyyx
2. Formulas
=
+
22
2
B
AB
A
=
+
+
22
2
B
AB
A
=
22
B
A
*
NOTE
:
22
B
A
+
is not factorable.
=
33
B
A
=
+
33
A
1)
= 36
2
x
2)
= 27
3
x
3)
=+ 18
3
t
3. Trial & Error
1)
=+ 65
2
xx
2)
= 14335
2
xx
3)
=+ 123
2
xx
4)
=+ 123
24
xx
4. Grouping
1)
=
+
+
+
362 yxxy
2)
=+
322
4343 yxyxyx
Homework
Solve the problems #11~#38 on page 163.
4.2 Multiplying and Dividing Rational Expressions
Ex1) Multiply and simplify :
1)
24
22
34
3
x
x
xx
x
xx
++
+
2)
15
11
12
18214
24
2
576
2
2
2
2
+
+
+
+
n
n
xn
n
n
nn
Ex2) Divide and simplify
1)
xy
yx
x
5
9
12
5
32
4
÷
2)
25
40
16
654
2
34
23
2
+
+
+
+
t
t
tt
t
t
tt

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Download Tips and Exercises for Factoring and Multiplying Rational Expressions - Prof. Youngmi Kim and more Assignments Pre-Calculus in PDF only on Docsity!

MS112 Worksheet

Dr. Y. Kim

Tips for Factoring

1. Common Factor

  1. n + 4 n =

3

2 3 5 x y xy

2. Formulas

2 2 A 2 AB B

 + + =

2 2 A 2 AB B

 (^) − =

2 2 A B * NOTE :^

2 2 A + B is not^ factorable.

3 3 A B

3 3 A B

2 x

3 x

3 t

3. Trial & Error

2 x x

2 x x

2 x x

4 2 x x

4. Grouping

  1. 2 xy + 6 x + y + 3 =

2 2 3 3 x 4 xy 3 xy 4 y

Homework Solve the problems #11~#38 on page 163.

4.2 Multiplying and Dividing Rational Expressions

Ex1) Multiply and simplify :

4 2

2 2 4 3

(^3) x x

x x

x

x x

2

2

2

2

n n

n x

n n

n n

Ex2) Divide and simplify

x y xy

x

2 3

4

÷

2

4 3

3 2

2

t t

t t

t t

t t