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Byju's Answer
Standard VIII
Mathematics
Finding Square of a Number Using Identity
If x + y + ...
Question
If
x
+
y
+
z
=
0
, show that
x
3
+
y
3
+
z
3
=
3
x
y
z
Open in App
Solution
x
+
y
+
z
=
0
we know that
x
3
+
y
3
+
z
3
−
3
x
y
z
=
(
x
+
y
+
z
)
(
x
2
+
y
2
+
z
2
−
x
y
−
y
z
−
z
x
)
then
⇒
x
3
+
y
3
+
z
3
−
3
x
y
z
=
0
⇒
x
3
+
y
3
+
z
3
=
3
x
y
z
Suggest Corrections
0
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Question 13
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