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Algebra Examples
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Algebra
Factor z^2-1
z
2
−
1
z
2
-
1
Step 1
Rewrite
1
1
as
1
2
1
2
.
z
2
−
1
2
z
2
-
1
2
Step 2
Since both
terms
are
perfect squares
,
factor
using the
difference of squares
formula
,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
a
2
-
b
2
=
(
a
+
b
)
(
a
-
b
)
where
a
=
z
a
=
z
and
b
=
1
b
=
1
.
(
z
+
1
)
(
z
−
1
)
(
z
+
1
)
(
z
-
1
)
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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