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If 2x + 3y = 12 and xy = 6 , find the va
Question
If
2
x
+
3
y
=
1
2
and
x
y
=
6
, find the value of
8
x
3
+
2
7
y
3
.
Easy
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Solution
Verified by Toppr
2
x
+
3
y
=
1
2
x
y
=
6
8
x
3
+
2
7
y
3
=
(
2
x
)
3
+
(
3
y
)
3
=
a
3
+
b
3
=
(
a
+
b
)
(
a
2
+
b
2
−
a
b
)
8
x
3
+
2
7
y
3
=
(
2
x
+
3
y
)
(
(
2
x
)
2
+
(
3
y
)
2
−
(
2
x
)
(
3
y
)
)
=
(
1
2
)
[
(
2
+
3
y
)
2
−
1
2
x
y
−
6
x
y
]
=
(
1
2
)
[
(
1
2
)
2
−
1
8
(
6
)
]
=
1
2
[
1
4
4
−
1
0
8
]
=
1
2
×
3
6
=
4
3
2
.
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