Chapter 6 FaCtoring and the distributive ProPerty 173

✔SOLUTIONS

1.

1

56

1

23

1

23

1

xx xx^22 ++ xx xx 13

+

+−

=

++

+

()()()−+()

1

(

=

++

⋅

xx23)( )

xx

xxx

x

x

−

−

+

−+

⋅ +

+

1

1

1

13

2

()() 2

= −+ +

++−

1112

231

()()

()()()

xx

xxx

= +

+

21

2

x

()x (xxx+−31)( )

2.

5

2512

2

312

5

23 4

2

xx^234

x

xxx

x

−− x

+

−

=

+−

+

()()()−

5

(2

=

+−

⋅

xx 34

3

)( ) 3

++

−

⋅ +

+

2

34

23

23

x

x

x

()x

= ⋅+ +

+−

(^53223) = ++
32 34
15 46
3
xx^2
xx
() xx
()()( 223 xx+−)( 4 )
== ++
+−
4 xx
xx
(^2615)
32 () 34 ()
3.
1
20
2
12
1
54
2
xx^22 +− xx xx xx 43
−
+−

+−
−
()()()+−()
=^1
+−
()xx 54 ()
⋅⋅ +−
+−
()()
()()
xx
xx
43
43
−
+−
⋅ +−
+−
2
43
54
()() 5
()()
xx()(
xx
xx 4 4)
= 1(x+^443254
5 443
)( )( )( )
()()()()
xxx
xxxx
−− +−
+−+−
= xx+− −+x
(^2212) 2( xx
xxxx
−
+−+−
20
5 443
)
()()()()
= +− −−+
+−
xx xx
xx
(^22122240)
() 54 ()(()xx+− 43 ()
= −−+
+−+−
()()()()
xx
xxxx
(^228)
5 443