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Byju's Answer
Standard VIII
Mathematics
Factorisation Using Algebraic Identities
Factorise : 2...
Question
Factorise :
216
m
3
−
343
n
3
Open in App
Solution
216
m
3
−
343
n
3
=
(
6
m
)
3
−
(
7
n
)
3
[
∵
(
a
3
−
b
3
)
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
]
=
(
6
m
−
7
n
)
(
(
6
m
)
2
+
(
6
m
)
(
7
n
)
+
(
7
n
)
2
)
=
(
6
m
−
7
n
)
(
36
m
2
+
42
m
n
+
49
n
2
)
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