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Algebra Examples
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Algebra
Factor a^3-b^3
a
3
−
b
3
a
3
-
b
3
Step 1
Since both
terms
are perfect
cubes
,
factor
using the
difference of cubes
formula
,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
a
3
-
b
3
=
(
a
-
b
)
(
a
2
+
a
b
+
b
2
)
where
a
=
a
a
=
a
and
b
=
b
b
=
b
.
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
(
a
-
b
)
(
a
2
+
a
b
+
b
2
)
a
3
−
b
3
a
3
-
b
3
(
(
)
)
|
|
[
[
]
]
√
√
≥
≥
7
7
8
8
9
9
≤
≤
4
4
5
5
6
6
/
/
^
^
×
×
>
>
∩
∩
∪
∪
1
1
2
2
3
3
-
-
+
+
÷
÷
<
<
π
π
∞
∞
,
,
0
0
.
.
%
%
=
=
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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