Question

(a+b+c) ³-(a+b-c) ³-(b+c-a) ³-(c+a-b)³​

Answer 1

Step-by-step explanation:

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Answer 2

(++)3−(+−)3−(+−)3−(+−)3
(
a
+
b
+
c
)
3
−
(
b
+
c
−
a
)
3
−
(
c
+
a
−
b
)
3
−
(
a
+
b
−
c
)
3

the answer is 24
24
a
b
c

Let =(++)3−(+−)3−(+−)3−(+−)3
E
=
(
a
+
b
+
c
)
3
−
(
b
+
c
−
a
)
3
−
(
c
+
a
−
b
)
3
−
(
a
+
b
−
c
)
3

Since +=
b
+
c
=
a
makes =0,∴(+−)
E
=
0
,
∴
(
b
+
c
−
a
)
is one factor, similarly (+−)
(
c
+
a
−
b
)
and (+−)
(
a
+
b
−
c
)
are factors, but can not proceed further :(
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