Factorise using algebraic identities 3x5-243x
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Answer:
Step-by-step explanation:
3
x
(
x
4
−
81
)
Rewrite
x
4
as
(
x
2
)
2
.
3
x
(
(
x
2
)
2
−
81
)
Rewrite
81
as
9
2
.
3
x
(
(
x
2
)
2
−
9
2
)
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
x
2
and
b
=
9
.
3
x
(
(
x
2
+
9
)
(
x
2
−
9
)
)
Factor.
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3
x
(
x
2
+
9
)
(
x
+
3
)
(
x
−
3
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