Algebra Demystified 2nd Ed

(Marvins-Underground-K-12) #1

140 algebra De mystif ieD


4 21
3

4
1

21
3

4
1

3
3

21
3
43

− +
+

=−+
+

=⋅+
+

− +
+
= +−

x
x

x
x

x
x

x
x
()x ( 221
3

4122 1
3

211
3

x
x

xx
x

x
x

+
+

= +−−
+

= +
+

)

x
x

x
x

x
x

x
x

x
x

x
x
xx xx



+

=

⋅ +
+


+

⋅ −

= +− −

525

2
22

5
5
() 25 ()
(()xx() ()()()()

xxxx
xx

x
+− xx

= +−+
+−

=
25 +−

25
25

7
25

22

PRACTICE
Find the sum or difference.

1.^7
23


4
xx+ 2

+

=

2.^1
x 12


x
− x

+
+

=

3.^34
5


x 2
x


+

−=


  1. x
    xy


y
23 + xy 4

+

=


  1. x
    x


x
63 + 63 x

+

=

✔SOLUTIONS



  1. 237 42 237 22 42 2323


724

xx x

x
xx

x
x
x

+

+

=
+

⋅ −

+

⋅ +
+

= ()−+(^223
22 3

7148 12
22 3
15 2

x
xx

xx
xx
x

+
−+

= −++
−+

= −

)
()()()()

(xxx−+ 22 )( 3 )

2.^1
12


1
1

2
22

1
1

12 1
x

x
xx

x
x

x
x

x
x

xxx

+
+

=

⋅ +
+

+
+

⋅ −

= ()++()−
(()()

()()()()

xx
xxx
xx

x
xx

+−

= ++ −
+−

= +
+−

21
2
21

2
21

22

PRACTICE
Find the sum or difference.
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