factorize 8x^3-27y^3
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Answer:
Explanation:
Rewrite
8
x
3
as
(
2
x
)
3
.
(
2
x
)
3
−
27
y
3
Rewrite
27
y
3
as
(
3
y
)
3
.
(
2
x
)
3
−
(
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
=
2
x
and
b
=
3
y
.
(
2
x
−
(
3
y
)
)
(
(
2
x
)
2
+
2
x
(
3
y
)
+
(
3
y
)
2
)
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