factorize:x3-6x2+12x-8
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Answer:
The Expression
=
x
3
+
6
x
2
+
12
x
+
8
=
(
x
3
+
8
)
+
6
x
(
x
+
2
)
=
(
x
+
2
)
−−−−−−−
(
x
2
−
2
x
+
4
)
+
6
x
(
x
+
2
)
−−−−−−−
=
(
x
+
2
)
{
x
2
−
2
x
+
4
+
6
x
}
=
(
x
+
2
)
(
x
2
+
4
x
+
4
)
=
(
x
+
2
)
{
x
2
+
2
(
2
)
(
x
)
+
2
2
}
=
(
x
+
2
)
(
x
+
2
)
2
=
(
x
+
2
)
3
.
A
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