Algebra Demystified 2nd Ed

48 algebra De mystif ieD

deMYstiFied / algebra deMYstiFied / HuttenMuller / 000-0 / Chapter2

SOLUTION

The factor 2 + 3x is in the numerator and denominator, so it can be divided

out (or canceled).

() 23 () 1

23

23

23

1

1

+− 1

+

= +

+

xx ⋅ − =−

x

x

x

x x

2731

2

2

2

73 1

1

()xx++()=⋅()xx++()=+()xx 73 ()+ 1

15 62

32

35 62

32

32

3

()()

()

()()

()

()

(

xx

x

xx

x

+− x

−

= ⋅+−

−

= −

xx

x x

−

⋅ + =+

2

56

1

56

)

()()

PRACTICE

Simplify the fraction.

1.^3
2

xy

x

=

2.^84 x=
3.^30
16

xy

y

=

4.^72
18

x

xy

=

5. xx
   x

()− (^6) =
2

6.^621
3

xy x

x

()− =

7. ()()
   ()

5162 7

62 7

xx

x

++

+

8.^2481
15 8

xy x

xy

()()

()

++

+

=

9.^15021783
48

xy xx

y

()+−()=

SOLUTIONS

1.^3
2

3

2

3

2

xy

x

yx

x

=⋅= y^

2.^84 xx=⋅=^21442 x

SOLUTION

The factor 2 + 3

✔

✔SOLUTIONS

PRACTICE

Simplify the fraction.