Answer:
Rewrite
27
a
3
as
(
3
a
)
3
.
(
3
a
)
3
−
64
Rewrite
64
as
4
3
.
(
3
a
)
3
−
4
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
=
3
a
and
b
=
4
.
(
3
a
−
4
)
(
(
3
a
)
2
+
3
a
⋅
4
+
4
2
)
Step-by-step explanation:
Answer:
(3a+4)(9a^2-12a+16)
Step-by-step explanation:
It's a perfect square :)