x^6-729 factorise it and give the right answer
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Step-by-step explanation:
x
6
−
729
Rewrite
x
6
as
(
x
2
)
3
.
(
x
2
)
3
−
729
Rewrite
729
as
9
3
.
(
x
2
)
3
−
9
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
=
x
2
and
b
=
9
.
(
x
2
−
9
)
(
(
x
2
)
2
+
x
2
⋅
9
+
9
2
)
Simplify.
Tap for more steps...
(
x
+
3
)
(
x
−
3
)
(
x
2
+
3
x
+
9
)
(
x
2
−
3
x
+
9
)
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