facterize (125x)^3+y^3+2^3-15xyz
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Answer:
125
x
3
−
y
3
Rewrite
125
x
3
as
(
5
x
)
3
.
(
5
x
)
3
−
y
3
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
)
where
a
=
5
x
and
b
=
y
.
(
5
x
−
y
)
(
(
5
x
)
2
+
5
x
y
+
y
2
)
Simplify.
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(
5
x
−
y
)
(
25
x
2
+
5
x
y
+
y
2
)
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