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Algebra Examples
Popular Problems
Algebra
Factor x^2-81
x
2
−
81
x
2
-
81
Step 1
Rewrite
81
81
as
9
2
9
2
.
x
2
−
9
2
x
2
-
9
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
=
x
a
=
x
and
b
=
9
b
=
9
.
(
x
+
9
)
(
x
−
9
)
(
x
+
9
)
(
x
-
9
)
x
2
−
8
1
x
2
-
8
1
(
(
)
)
|
|
[
[
]
]
√
√
≥
≥
7
7
8
8
9
9
≤
≤
4
4
5
5
6
6
/
/
^
^
×
×
>
>
∩
∩
∪
∪
1
1
2
2
3
3
-
-
+
+
÷
÷
<
<
π
π
∞
∞
,
,
0
0
.
.
%
%
=
=
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