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Algebra Examples
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Algebra
Divide (x^2-y^2)/(x-y)
x
2
−
y
2
x
−
y
x
2
-
y
2
x
-
y
Step 1
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
=
y
b
=
y
.
(
x
+
y
)
(
x
−
y
)
x
−
y
(
x
+
y
)
(
x
-
y
)
x
-
y
Step 2
Cancel the
common factor
of
x
−
y
x
-
y
.
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Step 2.1
Cancel the
common factor
.
(
x
+
y
)
(
x
−
y
)
x
−
y
(
x
+
y
)
(
x
-
y
)
x
-
y
Step 2.2
Divide
x
+
y
x
+
y
by
1
1
.
x
+
y
x
+
y
x
+
y
x
+
y
x
2
−
y
2
x
−
y
x
2
-
y
2
x
-
y
(
(
)
)
|
|
[
[
]
]
√
√
≥
≥
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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