15. Factorise :
i) x - 64 x^3
Answers
Answered by
1
Answer:
x^3-64=0
=x^3=64
x^3=4^3
x=4
Answered by
4
Answer:
Rewrite
64
as
4
3
.
4
3
−
x
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
=
4
and
b
=
x
.
(
4
−
x
)
(
4
2
+
4
x
+
x
2
)
Raise
4
to the power of
2
.
(
4
−
x
)
(
16
+
4
x
+
x
2
)
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