Factorise : 81x4 – 16
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Answered by
0
Answer:
As per the identity:
(
a
2
−
b
2
)
=
(
a
+
b
)
(
a
−
b
)
Here :
9
x
2
=
a
4
=
b
Applying the identity to the expression:
81
x
4
−
16
=
(
9
x
2
)
2
−
4
2
=
(
9
x
2
+
4
)
(
9
x
2
−
4
)
9
x
2
−
4
can be factorised further using the same identity
9
x
2
−
4
=
(
3
x
)
2
−
2
2
=
(
3
x
+
2
)
(
3
x
−
2
)
81
x
4
−
16
=
(
9
x
2
+
4
)
(
3
x
+
2
)
(
3
x
−
2
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