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Byju's Answer
Standard VIII
Mathematics
Factors of Algebraic Expressions and Factorisation
Factorize eac...
Question
Factorize each of the following expression:
a
4
b
4
− 81c
4
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Solution
a
4
b
4
-
81
c
4
=
(
a
2
b
2
)
2
-
(
9
c
2
)
2
=
(
a
2
b
2
+
9
c
2
)
(
a
2
b
2
-
9
c
2
)
=
(
a
2
b
2
+
9
c
2
)
[
(
a
b
)
2
-
(
3
c
)
2
]
=
(
a
2
b
2
+
9
c
2
)
(
a
b
+
3
c
)
(
a
b
-
3
c
)
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1
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