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Standard IX
Mathematics
Algebraic Identities
Question
If
x
+
y
+
2
=
0
then find the value of
x
3
+
y
3
+
8
.
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Solution
Verified by Toppr
Given that;
x
+
y
+
2
=
0
…
(
1
)
To find:
x
3
+
y
3
+
8
=
?
Taking cube on both sides of
(
1
)
:
(
x
+
y
+
2
)
3
=
0
x
3
+
y
3
+
8
(
x
+
y
+
2
)
(
x
y
+
2
y
+
2
x
)
=
0.
x
3
+
y
3
+
8
+
(
0
)
(
x
y
+
2
y
+
2
x
)
=
0
x
3
+
y
3
+
8
=
0
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