Factorize 125a^3+8b^3
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0
Answer:
125
a
3
−
8
b
3
Rewrite
125
a
3
as
(
5
a
)
3
.
(
5
a
)
3
−
8
b
3
Rewrite
8
b
3
as
(
2
b
)
3
.
(
5
a
)
3
−
(
2
b
)
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
a
and
b
=
2
b
.
(
5
a
−
(
2
b
)
)
(
(
5
a
)
2
+
5
a
(
2
b
)
+
(
2
b
)
2
)
Simplify.
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