factorise the following m^6+n^6
Answers
Answered by
0
Answer:
(mn)^6
Step-by-step explanation:
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Answered by
0
Answer:
Rewrite
m
6
as
(
m
2
)
3
.
(
m
2
)
3
+
n
6
Rewrite
n
6
as
(
n
2
)
3
.
(
m
2
)
3
+
(
n
2
)
3
Since both terms are perfect cubes, factor using the sum of cubes formula,
a
3
+
b
3
=
(
a
+
b
)
(
a
2
−
a
b
+
b
2
)
where
a
=
m
2
and
b
=
n
2
.
(
m
2
+
n
2
)
(
(
m
2
)
2
−
m
2
n
2
+
(
n
2
)
2
)
Step-by-step explanation:
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